{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Qiskit Visualizations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-09T13:21:41.971889Z",
     "start_time": "2019-08-09T13:21:39.683983Z"
    }
   },
   "outputs": [],
   "source": [
    "from qiskit import *\n",
    "from qiskit.visualization import plot_histogram\n",
    "from qiskit.tools.monitor import job_monitor"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot histogram <a name='histogram'></a>\n",
    "\n",
    "To visualize the data from a quantum circuit run on a real device or `qasm_simulator` we have made a simple function \n",
    "\n",
    "`plot_histogram(data)`\n",
    "\n",
    "As an example we make a 2-qubit Bell state"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-09T13:22:24.608723Z",
     "start_time": "2019-08-09T13:22:24.568050Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'00': 528, '11': 472}\n"
     ]
    }
   ],
   "source": [
    "# quantum circuit to make a Bell state \n",
    "bell = QuantumCircuit(2, 2)\n",
    "bell.h(0)\n",
    "bell.cx(0, 1)\n",
    "\n",
    "meas = QuantumCircuit(2, 2)\n",
    "meas.measure([0,1], [0,1])\n",
    "\n",
    "# execute the quantum circuit \n",
    "backend = BasicAer.get_backend('qasm_simulator') # the device to run on\n",
    "circ = bell + meas\n",
    "result = execute(circ, backend, shots=1000).result()\n",
    "counts  = result.get_counts(circ)\n",
    "print(counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-09T13:22:26.162633Z",
     "start_time": "2019-08-09T13:22:26.060949Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_histogram(counts)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Options when plotting a histogram\n",
    "\n",
    "The `plot_histogram()` has a few options to adjust the output graph. The first option is the `legend` kwarg. This is used to provide a label for the executions. It takes a list of strings use to label each execution's results. This is mostly useful when plotting multiple execution results in the same histogram. The `sort` kwarg is used to adjust the order the bars in the histogram are rendered. It can be set to either ascending order with `asc` or descending order with `desc`. The `number_to_keep` kwarg takes an integer for the number of terms to show, the rest are grouped together in a single bar called rest. You can adjust the color of the bars with the `color` kwarg which either takes a string or a list of strings for the colors to use for the bars for each execution. You can adjust whether labels are printed above the bars or not with the `bar_labels` kwarg. The last option available is the `figsize` kwarg which takes a tuple of the size in inches to make the output figure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-09T13:22:28.840935Z",
     "start_time": "2019-08-09T13:22:28.720853Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Execute 2-qubit Bell state again\n",
    "second_result = execute(circ, backend, shots=1000).result()\n",
    "second_counts  = second_result.get_counts(circ)\n",
    "# Plot results with legend\n",
    "legend = ['First execution', 'Second execution']\n",
    "plot_histogram([counts, second_counts], legend=legend)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-09T13:22:31.143316Z",
     "start_time": "2019-08-09T13:22:30.984815Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x864 with 1 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_histogram([counts, second_counts], legend=legend, sort='desc', figsize=(15,12), \n",
    "               color=['orange', 'black'], bar_labels=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using the output from plot_histogram()\n",
    "\n",
    "When using the plot_histogram() function it returns a `matplotlib.Figure` for the rendered visualization. Jupyter notebooks understand this return type and render it for us in this tutorial, but when running outside of Jupyter you do not have this feature automatically. However, the `matplotlib.Figure` class natively has methods to both display and save the visualization. You can call `.show()` on the returned object from `plot_histogram()` to open the image in a new window (assuming your configured matplotlib backend is interactive). Or alternatively you can call `.savefig('out.png')` to save the figure to `out.png`. The `savefig()` method takes a path so you can adjust the location and filename where you're saving the output."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot State <a name='state'></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In many situations you want to see the state of a quantum computer. This could be for debugging. Here we assume you have this state (either from simulation or state tomography) and the goal is to visualize the quantum state. This requires exponential resources, so we advise to only view the state of small quantum systems. There are several functions for generating different types of visualization of a quantum state\n",
    "\n",
    "```\n",
    "plot_state_city(quantum_state)\n",
    "plot_state_qsphere(quantum_state)\n",
    "plot_state_paulivec(quantum_state)\n",
    "plot_state_hinton(quantum_state)\n",
    "plot_bloch_multivector(quantum_state)\n",
    "```\n",
    "\n",
    "A quantum state is either a state matrix $\\rho$ (Hermitian matrix) or statevector $|\\psi\\rangle$ (complex vector). The state matrix is related to the statevector by \n",
    "\n",
    "$$\\rho = |\\psi\\rangle\\langle \\psi|,$$\n",
    "\n",
    "and is more general as it can represent mixed states (positive sum of statevectors) \n",
    "\n",
    "$$\\rho = \\sum_k p_k |\\psi_k\\rangle\\langle \\psi_k |.$$\n",
    "\n",
    "The visualizations generated by the functions are:\n",
    "\n",
    "- `'plot_state_city'`: The standard view for quantum states where the real and imaginary (imag) parts of the state matrix are plotted like a city.\n",
    "\n",
    "- `'plot_state_qsphere'`: The Qiskit unique view of a quantum state where the amplitude and phase of the state vector are plotted in a spherical ball. The amplitude is the thickness of the arrow and the phase is the color. For mixed states it will show different `'qsphere'` for each component.\n",
    "\n",
    "- `'plot_state_paulivec'`: The representation of the state matrix using Pauli operators as the basis $\\rho=\\sum_{q=0}^{d^2-1}p_jP_j/d$.\n",
    "\n",
    "- `'plot_state_hinton'`: Same as `'city'` but where the size of the element represents the value of the matrix element.\n",
    "\n",
    "- `'plot_bloch_multivector'`: The projection of the quantum state onto the single qubit space and plotting on a bloch sphere."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-09T13:24:00.346887Z",
     "start_time": "2019-08-09T13:24:00.343732Z"
    }
   },
   "outputs": [],
   "source": [
    "from qiskit.visualization import plot_state_city, plot_bloch_multivector\n",
    "from qiskit.visualization import plot_state_paulivec, plot_state_hinton\n",
    "from qiskit.visualization import plot_state_qsphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-09T13:24:00.805200Z",
     "start_time": "2019-08-09T13:24:00.791991Z"
    }
   },
   "outputs": [],
   "source": [
    "# execute the quantum circuit \n",
    "backend = BasicAer.get_backend('statevector_simulator') # the device to run on\n",
    "result = execute(bell, backend).result()\n",
    "psi  = result.get_statevector(bell)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-09T13:24:02.031927Z",
     "start_time": "2019-08-09T13:24:01.740933Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_city(psi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-09T13:24:02.614506Z",
     "start_time": "2019-08-09T13:24:02.457986Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x360 with 2 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_hinton(psi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-09T13:24:03.180216Z",
     "start_time": "2019-08-09T13:24:02.679100Z"
    },
    "tags": [
     "nbsphinx-thumbnail"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_qsphere(psi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-09T13:24:12.534766Z",
     "start_time": "2019-08-09T13:24:12.374979Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_paulivec(psi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-09T13:24:13.345039Z",
     "start_time": "2019-08-09T13:24:13.061130Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_bloch_multivector(psi)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we see that there is no information about the quantum state in the single qubit space as all vectors are zero. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Options when using state plotting functions\n",
    "\n",
    "The various functions for plotting quantum states provide a number of options to adjust how the plots are rendered. Which options are available depends on the function being used."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**plot_state_city()** options\n",
    "\n",
    "- **title** (str): a string that represents the plot title\n",
    "- **figsize** (tuple): figure size in inches (width, height).\n",
    "- **color** (list): a list of len=2 giving colors for real and imaginary components of matrix elements."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-09T13:24:16.519144Z",
     "start_time": "2019-08-09T13:24:16.235892Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_city(psi, title=\"My City\", color=['black', 'orange'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**plot_state_hinton()** options\n",
    "\n",
    "- **title** (str): a string that represents the plot title\n",
    "- **figsize** (tuple): figure size in inches (width, height)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-09T13:24:20.918725Z",
     "start_time": "2019-08-09T13:24:20.766235Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 2 Axes>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_hinton(psi, title=\"My Hinton\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**plot_state_paulivec()** options\n",
    "\n",
    "- **title** (str): a string that represents the plot title\n",
    "- **figsize** (tuple): figure size in inches (width, height).\n",
    "- **color** (list or str): color of the expectation value bars."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-09T13:24:22.824220Z",
     "start_time": "2019-08-09T13:24:22.663723Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_paulivec(psi, title=\"My Paulivec\", color=['purple', 'orange', 'green'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**plot_state_qsphere()** options\n",
    "\n",
    "- **figsize** (tuple): figure size in inches (width, height)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**plot_bloch_multivector()** options\n",
    "\n",
    "- **title** (str): a string that represents the plot title\n",
    "- **figsize** (tuple): figure size in inches (width, height)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-09T13:24:24.227694Z",
     "start_time": "2019-08-09T13:24:23.964016Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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9nd/znvdQLpdzV06OHNcIclnevcgV5i7BF7/4RQDe+973Yhgbf7Z6vc6jjz6K4zg89dRTG9ZVKhXe85738LnPfY4gCN6w8ebIkWM0clnevcgV5i7B8ePHAThw4MDI9XfddRcAL7744qZ1H/jAB2i32zz++OOv2/hy5MixM+SyvHuRK8xdgiTQ32w2R65Plq+trW1a9/73vx/DMHJXTo4c1wByWd69yBXmdYKk64wQm4vsz8zM8La3vY3/9J/+0xs9rBw5clwmclm+dpErzF2CZNY5jlLe6XQ2bDdqfaPReH0GlyNHjh0jl+Xdi1xh7hIcPHgQGB3XADhx4gQwOi5y6tQpjhw5wgc+8IHXb4A5cuTYEXJZ3r3IFeYuwbve9S4AvvCFLxDH8YZ13W6XJ554gnK5zNve9rZN+ybxjlzIcuS4+shlefciV5i7BHfeeSfvfe97OXPmzKZ6kj/7sz9Lv9/ngx/8INVqddO+n/3sZ5mbm+PBBx98o4abI0eOMchleffCutoDyLFz/MZv/AaPPPIIH/7wh/nTP/1T7r77br761a/ypS99iQMHDvDzP//zm/a5dOkSX/nKV/jRH/3RkSSCHDlyvPHIZXl3IrcwdxHuvPNOnn76aT70oQ/x1a9+lV/5lV/h5MmTfPjDH+bJJ59kampq0z5//Md/TBRFuQsnR45rCLks707kFuYuwy233MKnPvWpTcujKKLX62EYBuVyOZ2Bfvazn6VWq/Hud7/7jR5qjhw5tsA4WQZwXZcwDLFtG8tSr+lclq8+coV5jSEOQ0Jd9qrf6bC2vEwcx8RhCFIigTiKkCglKQCJoppHcYwwDGq1Go1GgyAM+fznP8/3vve9FAqFq3hVOXLceIjjmCgMAXC6XbqXLhGGITKOFdlHSiXbUhJHEbGUGIaB53n0HQdhGJimydTUFLGUfP7zn+e973kPRu6OvWrIFeYbiDiOCcOQKIrwfR/PdfEHA2QUEenlMo5x+31arRYL588jg0AJlRYwmRGWhGHXdxzCMKRaqRAEAYvz89RrNV46eZJDBw/y7sce44Vnn8W0LMIwZOC69AcDmhMTzMzOMjk5iW3bV+u25MixK5HIchiGeJ6H6zjEvk8kJTIICKOIQbdLs9lk4fx5CAIirRhhvUCB1P9LKYnCkK7jULQs7FKJXr/P8tISr7zyCncfPMj3PPYYJ44cQRgGwjDwfJ++44BhMD0zw57paZrN5qYatTmuDHKF+QYgiiI6nQ7t1VXcfh/XdQk8j1hKZBQRaItRSglxjGGa1Ov11IIsWOs/kxAChFCWpRCEQYDrulTrdWzbJo5j2u02cRxz6NAhfvWXfolXzp7l8S9/GafXo1AsUq1UKJfLnDlxAsd16fX7CMNg32238c53vpO5ubmrdaty5LjmMRgMWFtdpdfp4A4G+Np9ipSEYZgqxDiKMCyLqakp/CBQFqRpYgmBRMlySt4RAuKYXq9HuVik2Wik61zX5Z6DB/nNT3yCCxcv8hdPPkm/38cPAirVKrVKBdOyOPrss/QHAwauS61e54EHH+TBBx/MvUtXELnCfB3heR6LFy9yaXkZV7tYCpaFYRhUKhUs08Q0TTUblFLNVuOYb7/3XuIoolypYOmZZjJjlJnjS6AbBJRtm1aziZlsIyULCwvMX7xIr9vljjvv5O6DB6nUakRxjOd5RGFIGEVE2nL1g4DlxUX+zW//Nq1Wi+98+GHuvvdeTNN8429cjhzXGOI4Zu3SJZbm5+l2OoRhSKFQwDIMCoUClXI5lWeASLtZ79OyXKlUEEC5VEoV2LAsR0GAMAxazWa6falYZGF5mTNnznDu3DmmJie59+67qdXrlIpFBr5PEARKnuMYGcdEUtLv9Xj+mWd48stf5u577+WR7/ouWhMTb/Rtu+4gErfAGGy5MsdmhGFIt91mcX6e5cVFpJSUikVq1Sp2qUTBsjCLRaXckhhGFBEl9SNRNz3wPBzPI9AxEFtbhsIwlCUqBFEQcKndplQqUatWIY458/LLvPDCC2AYHLrrLm7at49Yz3yjIFCCHMcqFhrHCCGI4phIu4WDIGB+cZH5ixepNxq85S1vYe/NNzM5OUmpVMoV6HjshsBSLs+XASmlsiaXl7l4/jwDx8EwTarlMtVKhUKhQKFQwLQshBBKWUURUkpiKdMHIo5jBp7HwHWRUmKaJrVyGatYTE6ElJKe9j5NtFoIw8Dp9zl27Bjnzp9nbm6Ouw8dwrZtwigiDAIiHaqJ9f7JmKMoUpPhKKLT7XLhwgW63S733HsvbzpwgJnZWWq1GoVCIU9PGY+RNyZXmFcAYRjS6/Xorq3hdLu4jsPAdbFLJfZoRSO10vLDUBEB9INqmCYyjjEMA0MIDMNQwqbdNqHv4/k+A8/DNAxq1SqWZSGAgevS7fVoNBqEQcDTTz9NGIbcdeAAYRxTKhQoFYugj2vpGbGprVykJAKMoWcgDEMGgwHffOYZXM/jTXfeiV2pUG82mZ2bY8+ePXnMczN2w5snl+dtIKXEdV26nQ7d1VU8x1EhCyFoNZs0ajVM00zlOAxDxSUQIiXjCMPAMIyNykhKZBzjBQGDwYAwiijbNuVKBQP1w6xcuoRpmtRrNU6fOcOxo0e5/fbbabRaRGFIvV5Xh0KFaQqWlXqokvdFHMcbSEFSSrwg4PyFCxw+fJjbbruNyclJyrUak3v2MDs7S6vVymOem5ErzCsJKSWe5ynBWlvDHwwQgNPv03NdDCFUTFG7PmP0L6AFR6JvrpSpdYmUKpivFZxdLFIslSgVi5hC0BsMkHFM2baxbZtOr0fo+/R6PZ559lluvfVW9t1yCwbQ6/epVCo063Usy8LUlmkqWFGE0EISRhEk4xMinfEiBN/61rdYWVnhO+6/nzCK8MOQSrXK9PQ0M3v3Uq/X81mqwm64Cbk8j0EYhjiOw9rqKl6vp7wxUcRau02M8vAIFB8h6w2K4ziVFallOyl2J6REmCZCSgqFAnapRLFYpFgsKtKf76eTYAmsrq1RsCwOHz5MfzDg3nvuoVwu4/s+YRQxNTFBUXunsiEaCaDfKQiRsugTeZZSYgjB6toaX3niCe5605uYmp7GcRzMQoHGxARzc3NMTU3l8c515ArzSiCOY/r9Pt1OB6fdptfrKZeqtsr8MKRgWdS0y0YYBpZppkoLw1CCppVSrF0nKb1cC2AURSrWmDBk0daoTi2xSyUC3+elkyfp9fvce/fdNBsNbNumVCzSHwyQUtIa09UgJRkl16XPub6BVq5CcPT55zl/7hzveOwxTNOk2+vRdxwKts3k1BSze/cyNTV1oyvO3XDxuTwPwfM8ut0uvXabXqdD4LrEUuL5Po7jIISgWqmoSauWY0uneyQTTiFEKr9hGKYKK87EFAPfJwhDJdtagRmGQRCGFEyTQrHI4tISJ0+c4KabbmL/7bdTKhSwbRtDCDr9Po1ajeIYhRZnZDl5f2z4sfU5u/0+X3niCe68807edMcdOK6rUtKkpNZoMLN3L3v37qVUKr1+N313IFeYrwVSSvr9PpcuXWJ5fh633yeK49QtYmnXaq1WozWC1p3kTUod20hng5p0ky7TSL57OvbheR4Dx8H1fRzXZWllhXMXLtCs17nrjjtotlpqFqyV1sB18XyfprYAhRCYWtATF44wjHS2KoRIFTcjFN+RI0dot9s8+sgj6ay13+/T7nYplEpM793Lvn37qFarN6ri3A0Xncuzhu/7tNttlhcWaK+sEAYBhlaGBctCoiaoM1NTFJNYYwYbJphCIHTKl4wilfo1QqajKGIwGOD6fsquHXgebcfhzNmzeK7Lnbffzk1791LOFCyQUtLudrFLJWytyEzDwLAsTK140SGdRJ6TENAoWR44Dl/80pd4+OGHmdQVhXzfp93p4Po+rclJbr7lFvbs2XMjcxZyhflqIKXEcRyWl5dZXFigt7aGXSxSLpWo6PQMu1Siqy3NZrOZpn0A6ykgQBAEm5RJYj3GOlAf6NhIYm0m+yb7hUHA8soKx44exZeSA3feiVUsYhkGdrmsxqStz/5gQLNexzRNJeAJuUcLepaYkCjNWEqKhQJWobAhFhLHMY8//jj79+9n//79CFSsBiHodDr0XJfW5CQzMzM3al5nrjB3AYIgoN1us7CwwMriIiKKKJVKVMplKjqmiCbgJLINmXCFRjafMkGSSxnHMZHOuQ6jiDgMVVERTQxK3gmxJhW9eOIEvX4fZzDg0IEDin1rWVQqFaqaKd9ut7EKBWqVSjr5jnTeZuJ1ItN4OpmwG5rFa2nFl4z43PnzHH3+ed71rnetM/WFwPd9VlZXKdg20zMzTE9P02g0bsQYZ64wLxdBEDA/P8/i4iJOr0fJMJhoNGjU6xQzLoter4fneSnzbBQSIUrjiHGMHwQEQUCQEAc0ktQT0zAQmqoe6YID7bU1Dh85wqFDh3j2mWf47u/+bhzHQUpJEASEWiBLhQKxlMxMT1MsFFLLFtat3VB/ksIIURTh+b4SasA0zVR4C4UC7U6HP/+zP+Od73oXlUplw/VFccxqu025VqM1McHExMSNRibIFeY1DCklnU6Hc+fOsbq6iggCapUKE60WNc0+BxXLbHc6GKZJU5NsRiFhr+uDE8YxrucRBwFBJrRhGgaGaSrvji42IAwDX3uAjh47RhRFfNu99/L444/zjne8A9/ziFDvn0hKipZFDNTKZaYmJ1PFCKSu30jKlDmbeIqSAimglGhWlk3T5KtPPUXRtrnv2799w7UJIej2egRRRKPVYmJqiomJCcrl8mv+HXYRRspznoc5AlJKlpaWOHPmDK7jUC0WuWlqilq1uu6e0YrPDwJ836eUya8aPpahXa+BVpChjnnG+jgFnWtZKBQUW1YzWBEiJSNEUcTa2hrPHz3K2x58kGKphACajQamjoVMTE4SRxG9fl/FWfWsdc/kJK1mM30pIGWaM1bIEI4k6kUQBAGhVuSu66r1QmBZFrffcQdff/ppHnvHO9RuqCfLNAwmmk263S4LjkOn3cabm2NiYuJGtDZzXENwXZfTp0+zsryMEcdMVio0ZmY2tM9KPDnOYABAfURrLbWhSL0/gSbjBLooQSLrSfqYZVkp70DoMIbruriDAXEUcfToUQqFAg/cfz+h9j41m036upBIuVSi5zg4jkO/26XT6eD7PpOtFqVEpqRUShnSPGxYJwJ5QUDgeQTae5UoUMMwOHDoEE985SvM7d3L9PT0+r5SUqtW8XyftaUlut0ug8GAycnJG76KUK4wh+C6LseOHqW7tkbJsrh5z56NyoaN7pm+44AQGywuCSlVPAxDPN/Hdd0079GyLIrlckoiGHbTCiBGMW79IMAwDHq9HseOHePRhx+mXq+r86Ie/Hq9TrfXwx0MqJTLzE5PE05MML+4SBiGqspQt0uzXmdi6FpIYpbaTWQIQVHnl1UgJSyEYUgQhuydm+PChQu8cPw4t+3fT6lYTI9nGgbNZpNev8/a8jL9dpvZffuYnpmh2WzeqLHNHFcRZ8+e5eXTpxFRRLNeZ3pqCtu2U8Jb8kwKFF8gDAIq5fJmpaDZp76WZV/Xeza0Fyax2rIxv+Qchp5Y9x0HGceYlsWR556jXK3y1gceoNvvY+j3QFHzEHq9HgPXpdlsMtlqsba2xlq3SxAEnFtYoFwsMjExQcW21xmx6qTp9cRJTNO2KenrDHQ+dqDl+a4DB3j6G9/g7d/1XZRse72ogs4fNxoN2t0uZ196ic6ePczMzjI9MzMyrnsjIFeYGSwvL3P8hRfA95nbs4fpPXvUzDPjAsm+9D3fT6t4JEoSdKKy7+N6Xjq7rFQqqVskOUbWDZvdPwxDev0+sZSUbZuVS5c4fPgwjz76KK1Wi8FgkPrWEvJQvVZL4yDoWW6tVkstybV2e4PibNbr6wnXmWMlSj25SlMIDJ3aghBEYcg999zD4SNHmJmdZeC6Kt+zVMIyzZRViJQ4gwEXz56ls7rKLbfdxvTsbK40c7whCMOQF44dY2VxkUa5zNwtt1Aul9OULpEh5iQYDAYIw1hniOptgjDEc93UDVuwLArFovIImaZ6RyRpHZDKvKFlyxkMcD0P0zSxy2WefPJJmo0G9z/wQMpoLdl2qoLirOQAACAASURBVOwKhQL1Wo1ur0ev26VRr1Mul4lQlm/fceh0u1xcWKBUKDA5OUlFs2mz8cwktJKVuaJlIS2LMiqMUqtWOXv2LBfn55nSJJ9SqURRv6esYpFGvU6n26Wzuoqjx3Tb7bffkJ6jXGGilMSZM2c49/LL2IbBbbffrvz1ScWOMS/5gXbfJLMtPwjwMtV5CpaVztqSnK1RhZcN1meIA9fFGQyU5Vir0et2+eY3v8k73v52Wq0WMo4JwhDTNDcUbUYI9UIA+v2+shh1EYSqbbPXtvE8j/baGp1ul7YWxHq9nhICoihKGXZZZC1q07LYt28fR48dwxsMaLRaaU6ZZVmUikWKhQKVSkXR8z0PbzDgpePHcRyHW/fvv6FdOjlef3Q6HV44ehSv32d2cpJ9N92U1mWOpMTM1m/V8H2fKIrS1nhRHOO77oZJb9m2KRSLihEvJaE+JpCGVxJGesI673a7RHGMbduUbZuvfu1rVKtVvuP++1PegZQSS8tqIs+maVKt1eh2u3S6XWz9PkIXUEgUalcrzmKhoOKMtp26l7P5odk3WDoZNgzMYpG7776bE8ePc+utt+J5Ho7jMBCCUrGoJsKWRb1Wo9PtEkcRS/PzOP0+Bw4epLpFnPd6xA2vMB3H4eRLL9FeXqZVrXLLzTdjWVYqJAwpD1APYqAJM4ViMU37SGIYZdtWCcZZSrYQKp4RBKkllwhsjJqh9h2HIAiwLItarYbveTz51FO89YEHaLVa6XGiKNrgEkndSoZBtVIhiiIcx1EzzowFWSwWmZ6Zoe66tDsd2p0Oq+02jVpNFSDQx2fMdYMSNiEEBw8c4PTp0zzy6KNpcnXSlsgxDIq6ylASuy0Vi5w9c4Z+v8+he+65kenqOV4nxHHM/Pw8Z0+fhiDgtptvZqLVUgpIKyRzxGRNoiaqoAkv3e76pFcXHMiGThI5sUwzJfJtSBcDfM+j1+8DUNP5k8eOHcNzXR56+9tTz07CWLcy8pCsK1gW1UqFvi6Zl/V2GYZBUxMQE8/RwsIClmXRarU2uUwTBvyoqf++uTkOHz7MwHGYaLUIdA64q71kBcvCKhSoVKsqvgo4vR7Pfetb3HXoEHtmZi77t9qtuKEV5uLiIhdeeQWv12N6cpLZmRmlLOMYAzY9YIkSFYbBQAfCE6ssEayk7FzWgkwq/AAIy1IdSaRMK4KEYUi31wMpqZTL2LZNFEU8+eST3HH77dy0b196rKSwgTWkcBI3jBCCWrVKt9vFcRxKesYJqruJlBJbVwryfJ+1tTXanQ6X2m32TExsZL9m02Myxwe4+ZZbeP7IEXqdDvVGg3KphF0sKveV56VFF4o6tuNrpbmyuMhzrsuhe+9VFP4cOa4AXNfl5TNn6Fy6RBG46dZb0wo6BmxQahugwwz9wSCtsWwYBmXbppQ0PdBykyA7lTSEIMx6oXQowvM8LNOkVqthGAbnz5/n5TNneNe7370+WdTu2IQ9u2FY+m+pVCKKY5ykhV8m9pq8W5rNJo1Gg06nw6W1NS5cvEi5UmFiYgJLHzfKFCLJxjnR1/umO+7gxIkTPPTQQymbthzHeHoiHGhvWqlYxPc8TM28P3bkCHfedRc33XLLq/rddhtuWN/Y2bNnuXD2LCIMmZ6aYnp6OlWWqYIZcp8mTLdet8vK6ioA1UqFVrNJtVZbn4VmBDN7rOQBT/Ibs3UrhRA0dIsupOSb3/wmtVqNQ4cOrQ86SUaGNKmZofOASgep1WpIIXD6/fXxszGeUSoWmdKx2qJpsrSywuLycnqOpEReml+mczmTGfsdWsjSMRgGRV1ovtlsYusSYAnFPQhDlbPa6XD02WdZXVm53J8tR45NcByHEy++yGBtjZptMzszk7JcRaLospO/zLLA91lcWsJxHMrlMnVdeMS27Q2s8mFFm3AHDMNIlVIcRbQ7HTzPw7Zt6vU6hmGwtrrKt771LR5+5JE07pfEUcMowrRG2y2J3FbKZYrFIq5ORclssG71CkGj0WDv3r00Gg0GgwEXLlxIyYHJ8WTGIk5dwMDtt9/O8tISA8dJr9c0TSq2TbPRoFapEMexkmdU+Kmg33enT57kpWPH0sb31zNuSIX5yssvs7qwQLVYVPGAeh27WNwkGEmdxmz1nNV2m06vh2VZTO/ZQ6lcVrlVertRLo9EuATrSksIgeu6DByHYqFAs9FIleDxF1+k1+vxwAMPpG7bRHjCKNqQmJxFVhla2p0TxXFKlYd1xRrpWGis4yt79+6l1Wziui4X5ufp9Xojjy+EINb737Z/P6+88kraVR4pUyE2DYNarUZdF6uOpaoMFEtVV7PvOLx88iQLFy9u82vlyDEejuNw8sQJhOfRajSoV6sqf3IorJCSYYQAwyDUyq3d7eJ5Hs1GQ8lgobDeq3LE+dJ3AplJqs6r7na7xFJSq9Wo6Fio67o8+dRTPHD//ethFZQiT/Kfx4UnsuevVatYpkm/30/duIm8S0hzqg3DYHJigr0zMxQLBVZWVlhcWlqfBI+4nqRP59y+fZx5+eV0ebYQQrFUoqVLbwpUtaBOr4etLeDl5WVeeuEFvCQN7TrFDacwz509y+riIs1KJe1hVymXlULKuFGzM1LX91ltt3EcR+VM2raqwKHJPBuEJ4ORwoV6QHv9Pr7vU6lWqWdymy5cvMip06d55JFHNluROn5pDndCGANbs1vdTIw1imNVbD1xL4OqM2kYTLRazM3OUiwUuLS6mqalDCOxkku2zcTEBItLS+tFqDPbCFQMqKFZuUIIVi5dSl8Unu+zcP4858+e3fZacuQYhuu6nDpxAsP32TM5iWkYqjSjYaQMUdg48Y10+GOt3SaOItV6r1ZLczLHyXJyHEas9z2Pbq+HaZpMNpuKUY6KTz751FPcfvvt7Lv55vXjSFVGb1T8csP5MjJuGAaVahWk6nUZ60pDYRQRZwolJHvYts3e2Vkmmk083+fC/LwK+4xAMom/aW6O+fn5tOVg9nqTyl7lxOKs1XBdl7VOJ02bcV2XU8eP4+jY7fWIG0phnj93jtWFBeqVCs1mU6WElMtpMjJkYo6Ap8to9Xo9DMOg0WhQrVaRcUxBdy8YK1xZgkB2OdDVCcgVrbQTBeS6Lt96+mke/s7vpKTzqxIkCjLawoWz4TzaWrYKBTAM2r1eWsUn6y7e0PUdFTNJBC0IAs4vLNDpdkeeQwCzc3PMX7iQnjNRhukLS4+jVCwys2cPxWKRXr9PkKTOxDHLCwucPXVqQ5pNjhxbwXVdTr/4IsL3mZubS62kLNklfeELVTik3+uxlpG9lu47KSFlso/CuIkvqHdEp9fD0Kldhk6tMgyDY8eOUSmXOXTo0MZmB3qimnQJ2srCzKaqGIZBybbxw5BOv68U5XC4ZUjJNlst9s7MUCoWWd1iEgwwMz1NV1vcSTWyVJ4zjFvTNGk1m7QajZQhPxgMcPp9wijizIsv0ut0xtzN3Y0bRmFeOH+eSxcvUq1UmJmexvW8NOaWWJcyoYPHMZ1ul65WFPV6PXWZ+poGXhpTAi8VrhFxj1iq8lx+GFLVDaXXd5R88xvf4E0HDjAxOZkKZxpDhLSMXUIqivXybEwi1hZkqGtNSimplEqYQtDv9zfVRhuOa0JG0GZnKRcKrK2tcWF+fqSg3bR3LwtLSyPvQ7YcIEJQsCya9XpaCcV1XS6trSGBtUuXuHju3LifL0eOFL7vc/LECULXZe/evZiGQRSGKhVMK8es+9V1XdrtNq7vU9JhmIou85aw0o0xHptxViWA63n0ul0sXTzEyCi+5aUlXnnlFR544IHUk5PwGxJ5jcJwPcyRjSlm5TmR5UxZTdu2CXw/LZ6QIFXoQwz3UqnE7MwME60Woe+PnQQbpsns7CyLi4ubjpHki2bvRa1eV5MEfQ1rnQ6e6xLFMS+fPHldumdvCIW5sLDA0oULlG2bvZoCHYZhmoyfTdb3g4B2p0MQhlRrNZoZFwsoAUOIkVbeVsIVxTGdTocwDKnXapva55w+dQrP9zl44MCG5Vn2XRIrtDIsu2wQPxtzyFqOSbpJQjIaRlJEfRilYpG9e/cyOTFBHIZcmJ/ftH+j2QRQk4uhYyRWe6LI4zimrN3gSXFpX/fzDKOIS8vLOREox5ZIlGXsumlXj0ArjmKhsC7L2hrqdrv0HAdL8wQS1iqQktFGTX6zJL2RytJ16ff7FCyL+lBx8igM+frTT3P//fdvSu/IxgbDKEqty0TRZRXmptQuLV+27mTSd5xNBeATFv/wxNjQVbjm5ubSSfDyysomr87evXuZn59P+/IOjzsJ60RRhKlzv03TpFatYhgGnW4XR2cPnD15cmPLwOsA173C7HQ6XHzlFWqlUqosI+3KSFpyJRUyev0+nW4XoXOcqnoWmo3N+UGwpftmK2UZxTH1en1TzVmn3+fI88/z4FvfuolePnwcYMeJ/ykpQLuQi8UiruelrqDsmJMZ8Khi/I1Gg9nZWSzLYmFpaVMsZE7HPlJXrz7OsDAm1nCSn2maJnapRNIqzPc8Lpw9S39MrCXHjY04jjlz+jSB4zA3O5sWAw/DEDHk1ky6kvhBQLVcThupp5YnpBaaNUqpaSLfKAxcl57jUNDxz2EPzXOHDzM9Pc3c3NzI/RP5SPgIWyGbC25oN6kQIo25OhkWLGRSRcZYzIVCgZmZGRqNBs5gsMlFu3fvXpYWFze9B+SQLCdWcdIoIoyitCWZ53n0+336jsN5TSK6XnBdK8wwDHnl5ZcpAbOzs6miCXRA29QFCsIoYq3TwfU8yrZNq9FIrbispRZGkVI+QwpvK8syjCI6nQ6xlDS0stzwKErJ159+moOHDlEf0+w5QaxZcDtRmMPdSUDR000h6I1wzSYwxijNUqnE3MwM5VKJS6uraVoNKCFbmJ8HMkp6xDESJPHfKAiU9atnqX3Hodfv8/JLL+F53rbXmOPGwtLiIm6nw/TkZOpSTfo+FixLTTalpD8Y0NYux6SsHGQmhvp4ge+r8m/DRcvJpKMMoT8Y0HccSqUStWp1k1dlYWGBixcvct99943cPzlqMpncCR9hk6WHTvkolwmCYGOqSeb6xhEDEybtnslJoiji4uJiWpTdtm2qtRqXtKdnO3kWQlUEkrqKWeI5CqKIXq/HpeXl64oJf10rzAvnziFdl5mMsgQ2lLByPY92pwNxTKNep6prvqY5k5n9hnMgt1KUoCzCbreLhA1pI2RmaydPnkRKyZvuvHPkMbIPariDGWkynqyiT8eZMO3iOK1ssnlnMbI8HijhnpmZoVGr0e/1mF9YIIxj9kxNsdZur7OMtetmmFC0fgpFU4/QTbWF7mpfKqnyfe02J194IRXiHDlc12XlwgUqpRLNRmPj8ylU3dYgCGjrgiKlUolWs5k2g06e6+zTGIThJiY6jJdnZzBg4LqUbZta0ig9M44gCPjmN77BW97ylrGdi5LtE1flTuQ5UcpJbdoESdk6ZzAgGrof2WsZdz21Wo3Z6WlM4OLSUpqzOTU1xera2sZxw6brTZAUjA91b86CZaV5sN1ej1fOnGFRT6h3O65bhbm6skJ/ZUWRTHSycDqr08SetXabvuNQtCyarVbaNzLLlM0+cNmHfLz9pBDr+EliWWareyQPdLfb5ejRo7x1G1dsesw4xjDNdTKNPk9CFshCwKYcTlAumVKphOe66QRglECNs2INw2BqaorJiQl83S80lpJisZgKXHKft3L1lopFhFS1NEVmWblcJghDVlZWOH706FhGX44bB3Ecc/7UKWQcM71nD7Bu+SSM1IEu9xhHEfVajbpWaMOT2uSlH0URUltEsP3k1/U8pYiLxU29YBM8++yzzM7NMbNFqbiU7Z6QeAxjQxrHWFnOsFSzx6pqKzebyrHhGoaYs8OwbZvZ2VlKlsXyygqr7TbNZpN2u406rUxDQUlqyahrKhYK+L6/4T5XdVwzyZVdXlgYO47dguuyNJ7vulw6fx5DCCYmJlK2qaED2aF2F5TLZeWyyVTf2FARREMYBsQxURiqerBa6Laiofd6PaIoop5Vlsl6Tdb5+te/zsFDh7AsS3UgyaZl6O1iPSuNtbVql8vKXalfBm3NMk3HkgiIFry+TuGIo0ix2XRD21hK2t3uptZlG657jHsWVFyzUCyyvLzM/NIStVqNdrutCsCPEHjDNJFRtD5b1q7lMON6TVqfVcplBq7LytISR597jnvuu2+kJZDjxsDiuXP4jsPUxMRIy80ZDPB9n2azSa1aTa22DXKhkSjYbF9IRmyXha970ia1XYchpeTChQssLS3x2DveoRpJa4WcpGQkrPHEQuvpHreJ1Zhsk8izHqySHX0tXtLkQDekFlqGCqaJ67pYOkd8FJI0kVHKs1AosHd2lpWVFbrdLmEcs7q6qmrdZtLQ0vs0YiJeLBbTfrrZsVfKZTzdlOKFo0c5JMSurj173b2F4ihi6exZvCBgr24nJSGtxuP5Pn3dHqtSLm9UlowWHAFgGOs5kFsoS1DdQnzdV08IoeqqRlFaHi6KIi5evEgQhkxOTaXpHklLoGwTaVO7NcMgoFgsUimX05JUoGaISSpL1iWKVrZJEncQBBsERur6lIHvUyyVkJAKoqFbgpn6no2zpss6OXppaQlhmlycnx87uxbJbDozTtM0QVv7yaTCEAKSotOOw6WVFY4//zwH7703V5o3IHqXLtFZWaFULtPIxPiTyVyn2yXSrtUkxWE7azF5J8g4Hls0IEEYRfS6XZXOUakQBIGS5TgmDkN8PRn91jPPcPDgQQauu86u1XIshFAdiUxTPd9CYPk+pUJBKbjE1SnlZnnOpI4JrYzCMCTMEIBAWcCO41DVJCRDiA1ybOr80HHdlwzDYHp6muLaGpfW1uj0egwGA4ojJijZyXmWlWwIsSH1ROrj2pqz0Ov3Of7885iWxcTk5Jb3/VrFdfUGiqOI9sWLdHXrqpL2rYP6AT3Xpaup4M16fUOO4FYKMDk2qA4C48g9YRim7DBLbzfIlKUzDSNVdidPnuTBt76Vhq43OSrel53BudoyrlarGxhwpTEzymT/IAgoFIsbGL+xtnANw8APAoqWRRjHqkl0El/NuLxM08TQQmdpVlyChHW3srLC+QsX6Oh7Pw7JDDWZeRdNE9/zNgimECp/rlKp0O50WFxYwDAMDt57b94a7AZC0O+zdOECsZRMT05uiIvHOlc6DEMazaZq/hyGqQW6nTxHUYSln+thJJaSr/kNcRhSrlTodDobFIGp87jPnDpFvV7n1ltuSSe7m2QZNsT/PM+jVCqtW4R63VbybBgGhlA1YxNyXtLpqFgsprmVlmUppRoE4LqQWNF6Mo4QFEwT07JSRZqg2WqpNn2FAmdfeYX9t946dqKa9Rz5QaB6aJomoZ7AZN2zpWKRUHdBOfrcc9z75jfTmpgYe63XKq4bhRnHMUGnw9raWlrmLRvnGCR5U4UCtWqVgWa7RTuYZYKuyiGEYnhqgkEYhkrJhCGxlPg6zmGXStSr1bQDu6FneQkOHznC7MwMs7OzO76+SCu4cXTxUUjdJ0NxD1MrpEajoYRMCGq6CbZETQ6SXKtYK9K0HZl2bVuFgsqn1AJ30003cfr0adq6kHy9Vhs/JtYJVJVqdUNBhuy4Da00+/0+C/PzGIbBXXffnSvNGwDRYEBneRnP85jaswdDv4CT8pDdbpcwipScWRaBdldulfKVQAJhEGAWCgjtOQq0LIcZCzLx/DTr9bRdX9ZaA+UOPnnqFI899thId/H6SddlMJks7ojwk0XG1Yy+FyaAaWKVy+k7qJxRurGO1yY5p6mny/dTQ8E0TQqFQtppKSl56TgOC8vLzO7ZM15pas9REIaUbZtIT9JHlfW0bZsojnE9j2OHD3Pvm9+c5nHvFlw3CjPq9+n3+0rApqZSFyxA33GUe6FYpF6rpSQVZzBgMBiMfbknSOIHruti6hlUEp8wDCN9OKIwZGpykvoWFpbjOLz00kt8z/d8z9bnHIoDJikllwUtEONcqpbOgxy4LlahkLpgE0VP5gWQWKuRVqC+7+NpQoChrVDP9ylYlmLMwtj7KqVM2x+VikWiwYAwiihmri9RmpZpUtV9+C5euEClVuOW2267vPuQY1chDgLCwYBOt4thmtSrVRVL0xV92gmZrtGgUCgQ6760vu8T2faWE+BkQjjwfUwh6GgFklhqpi6v57ou1UpFnWOLUMDRo0e5+ZZbtpT5YSRuy8uVZyN5J2SIg1mUdQWghMkLKsRhjBh/FMeEQaA8Y0GAoyuYJaXv6vW6ap4dxywsLzM3MzN2vJ7vE0cR5UoFX1v6I8cvBOVSCaRqgfbC88/zHW9966biDtcyroupeuS6yDCk226DLsCcXFhP++JLpVL6ApdS1Z0s60ozwyWmEgRhSM9xWF1bY21tDc/ziLX7o1atMjkxwUSrRblUItDKoraN8j185Ah33Hlnmhu2U8RxfPkzUsZTwRPYto0hxKYE6FHHKegO7JVKhVqtRrlcVj1ADYMwDNO8MCkli0tLrI2pJ+nqmG6lXFY5XHK9itGGc6LiQJZpUqlUCKOIUy+9RCdDec9xfSGOY8J+X/WU9H1ajUaaNhKGIWs6TavVaGxgtSfpYP0xz3GsJ2mdToeV1VWcXk8VPABsTf6bmpxU59OKo1arbaksu70e586d4567777sa4TxNWTHQqd7jSPimYaBrd9F27HLE3eybdtp8fmybiMW6+IivX6fUrGINxjwyoULI6v2xDpFrWBZ2MUiVqGQluQcRuISThpyd7tdXjx27PLuwVXGrleYcRgSDgYMHAfX82g1myrtQ0q6vR5u0ptOB8OzvSHLto1hGGnbqSR20ddKst3p4LpuGrhOWgBVKxWKxWKa19XXlO667sgxDqtraywuLm4qfzeMtBVR5nuUcVleDrZzTxlClbeKdbuv7SDZWCnJLpWo6v6XZZ17NaG7r8wvLDC/sMDAdVNhi3Qco1AoKPeZpqSPPbf+vQpJQrTvc+S559JyaDmuL8SOg4xjOu02Ughq9ToCJZdtHUNs6ao9sF6gwxCCSrlMGAS4mnkdxzGu69LpdlldXaWrmevFQoFqtcpEq6Wan9t2yi1IGJ3VSmVDScxRePbZZzl06NBlW0gJ83QnHYeyMGDLFBFQMVDDNDe09BuFLAs/1mGWQqGQZg5MTE0RBgHVapVatYrnupx8+WW6vR6+76fv0YHrIqVMm0gkE4xRCjt5ryVFF0zDYGF+nld2UTWgXe2SjeOYqN9HAJ1uFylUE2aJynH0giDtCALrwpXNsazVaqytrbG0tKSq8GhmmqUZbMViEUMIVofo1QmSOGijXlel9tgc4E/w7LPPcu+3fdu2bM9hq/BVz0jVwbasugMq/3HgujiOQ6PRGNlhJVvmblxhg3KppPLgdHWVhcVF2r0ekZRUbBshVBsgq1BIfxNQJIWkN+fwpCBbyqxoWVCp4DgOx44c4b7777+cO5HjGkfkukS+j+d5uK7LRKuFqYlp7W4X0zA25DQP11u1deGLtbU19eLOpDCVdKs7y7JwtVfJGJKnKIpw+n3FRq9UUoZqPIIVv7C4SL/b5aGHHtr2ujaFV3Q+9eUqTEYQA4eRTIC73W5KxNkwFjWgtAbtuNQx27YJPE9lEpTL2OUySzqFbFL/LgnXoab5GgAFfV1hFI2N6SakqYpmwp84fpxGs0kz0y/0WsWutjBj10XGqgu4MxjQqtcxtcUYhCG1anWTskweDYmqJTkYDAh1qynP96lWKrQmJmjorhoJyUbqGEoWvu+rcnrlsmqjlaFXDzPlzp07RxSG3Hbrrdte1/ADfLk1ZLMYV21neJtyuQxSpvlpyWwwkptrwo5DqVRKi7NblsVNc3O06nXlIopVI2vXdVUMKVM4IekWEQ711ByeeAihOp7YpRKLCwucz7ubXDeIoohoMEAIoeouS0mz0SDU/Sst06TZaKwrS9hgbcX6+UoszG6/j2VZNBoNms2m6l+bWKWJPGXlQkrVNF2s12lN5DnbfzZ5Pp979lm+/c1v3lYmR7lQR00Md4q0iMEWKBYKKrdbp7hkC5xEuo9m9nij3g92qYTr+2mKTKNeZ252llKhQL/fJ4xjuo6Tkh6TfrtCM3DDMNxsDQ/JdmJpSik5duTIrijUvmsVZhQERPrl3F5bI0Yl0w90s+RypZJStrPKMtI+97W1tZRp12g2mdUdyn0d18gicV1kBSxh0VmmuYGVlkVK4wYOHz7Mfffdd/mzStatu+EZ8U6xXVUiIGXJ9R2HUNeFzCZaZ5Fc1/Aa27Y31LUUQrBnagq7VEprU+6Zmkq36/V6dLSbLJaSOAxV3mg2nzRzv6TOLStpxuKJY8dSd3iO3Y1I/46+79N3HFqtlsqz7PUQ2nOUyFJaJ1lKAq1QV9ttBoMBVqHA7MxMqmxH5Uyn1lVGaTl64px03RhG8sybpsmZl1+mqCvkbIsRE9Yo06XksiHEtvKcxGXjMFQT1ExHo3GlKoeXJ2khWddqpVJhz+QkYRCwvLJCo16n1WoRaxJPW3cqSYskDMnvcGeVpAFDpVym1+vx0vHjl3s33nDsSoUZRZFyxQqV0D9wHBo6PcFxHIo67zCp8CNQP06v32d1bQ3HcTCEoFatpr3xqtUqtm3j+z7tbje16mD9h04FSUr6mnxQq9W2jSucP3eOer3OzMyMqhKUeUA3dQUYsX+SHHw5KSVZjNpLZj5JXqatGWz+DgufD79YklqwG84jJaWk/6XnKVdMuUyz0aBk24o0oNnKvX4/TVsZR25IyolVymWiOOb5557b1uWc49pGOBiAti66nQ5SSpq1Gr1eDykljVpNKZjMM+F5nkqw73TwgyDlGDQajZTIghCqtuzQMxkPeYsSZqldLm+dGgIgJSeOH+fb7rlnY/70OEU2rCT0NbyW1KhRSi9m3ZqNpMTS7P0kxvhqjmnb9oaePilySAAAIABJREFUlkkBmHK5jCUEQRhSKpVUDW7tlnU9T6XwaW9SwnYf5mWgj5V4jYrFIufOnmVpcfGy7sUbjV2pMHHdtArGwHUJgXK5TE+7YWoZNqyUMiXxuJ5HqVCg0WjQaDYplkrriksfo1atEkUR7XY7JZYks6VEYQ1cVzWBrlR29OAfO36cgwcPAooank3oNTICl31kk6A8vPoZaSoomeB+Yjlu6LsHoAUsUWw7EjJ1Eel327Y39Mv0fT+1wm+am8MuFFi+dCmdACTCVqlUKBQKDHSieFr6b9QY9PlM08S2bTrtNmd3EWkgx0bEcUysnxmpvT9lXRoxsfiySfBhELDW6dDr9YjjmEqlwkSrRUXnYyYwTTMtvu7oLjip5yKO0xdfMpG2DIPKFkUDErxy7hylcpk9e/ZsUDIJ8SirQLO1bJO/8atMKUkh13vgpm5W/X5KJsBpFbByGSHl2CyAYWS9O6AIRMkEWGqXted5tFotpiYncQeDtNWfpatzNer1dDLb6Xbp9ftpndyRlwMgBHaphDAMjh89uuMQ0NXArlOYcRwTabefMAxczQbzdKueWq2Wul9d32d1dZWB61LUndartdom0k1CHhAoAkyz0UAYBp1eT7ko9Q8uDIMgCHAGg5QQtB0uXLyIZZpMj6ufmBRX0P9nCUlpoeYxOZip2yOj/DYpwszxhs85dBMApfSSoug7wYaqQ9rCjOOYvuPgDAbpBMa2bSYnJ5FxzPKlSxuOUSgUqNfrihgEOK5Lp9dTydUjkNyXUrFIwbJ4+dSpvLPJLkWcYXP6Oh1CCIHv+5QzTNUwDOl0u7S7XWQcU63VmGi11PM69DxnmbP1Wo2yDgG0Ox2CIFi3MKWk3+sRS0l1B54igOOZye9WW4sRf5OQEGS6lOhzJnmgY+U5Gx4ZsmY3WYdynVluWhbuTq1MNoZ97FIJ1/PwfV81kohjqpWKaoGo0+nW2u0Nk2RDW6C1apWCJvN1ej0cx9lSERp6wuK6LqdPndp2rFcLu09hJnlW+iFyBoP0AWvobuqe57G6uoqjK/skndbNEQKRTTNJkBAMSrrh8lq7TaAD4L1eD9Mw0lJz2+HYsWMcPHhwY3H0LTDODTkqBzOtibmTgWxH/NF/k1jmTl056TikKgbhex5dneNm2zaVpA0SShm3Gg18fU+zMITAtCzK5TIV2yYKQ+Xa0cfKIvvysG2bIAg4rduk5dg9iKKIOJn8ClWNy9cVaIrFonoOoohur8dau02kX9gTzebYlI9h5qzQ6Sb1Wi2NiXYdR7W48zy8MEzdidvh4sWLIEQau9zuedvkgiQTXsl2L0K9iLeU5yFrdqdIeBw7nQBnJ+qFQoFOp4MzGGAYhspLTUoPCsHk5CQFy2JldXWTjFq6elBDK05Pe5tc3WRi46Wp81ma0Hfu7NkNJUWvJewqhRlFEXEQKGvQMBgMBjiDQVruTgjBWrtNt9dDGAZ1zZBLcoPGPd6jHsAkxtms1zGEYDAYsLS4qFyxIxrHjsLi4iJRGDJ30007ur5R40sV+mstB3cZ8U/bthWh4jJyHcMoUn354lj1w6vVlJtlaLu67jna1bPOBCmhQxMB6tUqdqmUkqs2zFB1pwZQglkul5m/eJHOmEIJOa5NSP1STJ6RXq9HGEXYxSLVahVHk/M8zURvNZtbFvxIZWXEs14sFNT+tk3o+6x1OqytrlK0rG3zLRO88MILHLqMye8owlxSMP1VsRFehdIsFgppbHGniHUYK5aSMIrSQiXDk3bTNNkzOYmQkuWVlU2pZ2noRRd6sQwjtVaz75bsXSoWi8RRxJlTp65J1uyuUpho0z95WSZxxolWCxnHrOl+eLVajVazuZ6DJEaXiEso01vBsizq9TpWoYDr+0RhmLYT2o7efez4cQ4eOrQxNrnVPiPWXVaj2XGHZfvr3PDQ7lDI4jjG8zy63S4Dx0nJOpVtYruTExOUikVW19Y2tVkKdVskoa2Mhla8vmbVDhc4kHq8QkrOnzuXFzTYJYjjWE1+NQJdhadSLlPVhc4dx6FQLKoYpX6mkhjhJrLcCE/RMBJrs1qpEIQhru8T6NZd28XNlpaW8IOAm/bt2/E1jpL1V1uAZBO2UNbDE4aybafpd1sh1EVbup2OKqBumpQKhZEdSxIU9e8ThSGrGa+RYRhK4WZc0JVKRRk2qBKhzrC1qVN4yrbN8tJS2pPzWsKuUZjZ2CUoRdLpdNKSaX3HwTQMms0mpVJpw75JEH44D2g7hZduK1X+UqvR+P/Ze7PmNq40W3TliBkESRAkKIqSSGqkrMmyZVmyXFVR1R1xn87L+YP33sf72NUdfdzVVWVZg6l5tGZREklwwAzkPN2HvXcykUgMlGRLHeaKcEimwJyQe3/T+tZHaNSUKFCnSkBRC6NSqUBtt7F3Zmboe+wbYb4nQzaInRwjThdZlAFizNYWnW7P0cWQGxnxe9wGXcf42BgEjusgAfFAl0HkKCEgm04DngdVUaBpWidF3SNjkSpbW2jRiQ27+LzhBqNLjkO1XofjEX1YxlJPJZPIZDJd7VQcnbgRxrBvt+M4kGUZkxMTkGWZiB00GiTC7aE49eTJExw+dGjoc/QkuXjee7Pdg9jJESQ6lSTKAfY80nvdarfJ/VsWYrEYRrJZMvZviD0ylUohnU5DU1WfBMRGfYX3A0EQkEmniboXdYJZ3Rogz02iIxTXS6XPzgH+H6P049JaJSvW1+t16KaJbDwO27KQoMXonuA4fzYkewWGfek02mzPcvgJWjfTdd0XcBclCbIsk2iH4/D0yRNSuxywOGzbhq5p0HQdmqpC1XXolCHI5u1ZpumnONi0AcY8+8///M/tqSg8T0b20H4xXhDg2jZESfIdiVgshngshngi0bduI0sSdEEgOpGSRKTzLIsIXLNRZ7Lsq6cA22IHw0S0kihibGwMW5UKytUqJsbH/RaXKDBBaI1G90y7ls3U5DkOcF2USiVkMpnB7QG7+GRwXReuafrG0jIMtCmphM1GzUSkAIPggs6v138+bRCO60I1DCRk2U/vuokEdMOAYRgwWy3wVGeVCQAwWb29e/f2PbbneTB0naxlWi7SdR0G7YV0HKeDIOPP1aTTUjzPww8//OD3ewbXsT/P0nUJkSmVIvM0EwmfgNhrr2GTQhSaoRGpsIBlWb72MyPrSJLkR8B8RCTfC7mREcJgbjQ65vVGiTRwHIckFclX6RSpGNWpZtmDuCyjvLmJqWIRY5/R7Mz/EQaTpW+Cw1LrtRosOh8ym80ONVzY7wly3aGjLdtxoGsaRMrIZGBaqOzFY0VtFYCu66hUqzj71Vc+HbvZbKLRaKBBWWU6XViu6yIej/vCx7FYzGeZ8VTU3PU80rhNx2mxRfTXv/4V354/T0ZxuS4cKi/HhtvajkMMjGWh2WxC1zS/P0pngsnxOBLxOGLxONKZDLKZDDLZLJJUvajVbBJZQLpwWDsH09LteL60uTvcsNwLjARUbTRQrdUgiWJH/2vU95eIxyFSJ6OtKOS5UeMYj8dRXl9H8TNbZLvohMfawuhabLbbaLXbiCeTSCQSSNAWg76gGQm/zjXkelapVm2wFsp6gxPxOEzqFBp0jfA8j4ePHmF+fh4cR4bBN1sttOgoQUVRiIHUdZiUjR9PJCAHnNM0lfPjOQ46lZuLUx1r5uByPI9/+7d/w9fnzhHJuYBjbFNja1kWVKpI1qZ1fbaPOJRkl4jHEY/HEaO9ztlslpSURBGe55G6bSzm74FsHxMDRo5BEAQy1nAIMBKQtbWFrUoF+fFxAOid6qYlF4E65QZNjzMuCpMHXf/MHOD/EQbTMwx/gTmOg1qtBtOykEokMDY66j/cfovG95RopDlsOlZRFHg0LRgFURQhUnZns9lEpVrFs6dPIUoS/utvf9uej5nJIJvNYnJqyh8cm0gk/Be1V6N+W1Hg2DZGesyNSw8YK8RSJJl02hdOZ+djG4Om61AVBbVaDaVSya8VplIpxGQZyVQKExMTGBsdJRqbfcAmyg+LdDoNRdfRVhRkMhm/x6ynIgloiimV8j15z3WJdwpiVDc3Nj6rRbaLbbiuC8cw/DJJu9VCs9EALwgYHxsjUpZDrE22VnzFqSF+hzm28VgsMrvCCCoxWYZlWahWq1jf2MDG5iZ0w8CTJ0/gUK1kZozG83mitRqPIxaL+U5klKGwHQetZhOpVKqrJY1lVvoNX7dsG+1225+iwnoxAfjRq67r0DUNjUYDa+vrePb0KdqqingshkQyCVmSMDo2hvHxceRyub5ZJl+xJ1TO6gVBEDCWy2F9cxONZhOiIPTMGDEwZ8WkkobtdptMm+J5JGIxVMplFKenMfqZDJv+n2EwaY8lPA+Vcpnk2WWZCA8AQ0c0oJ/1G4oHfJmGacKyLCTj8UhtxEajga1yGeWtLWxtbUEUBKTTabQVBYvHjiE7MkJqgQFj6IIUwIVAirXfS8uEmj8GGGXco1EoQCJlThAQi8f9Ya6MvKNpGhr1OmqNBl6+eIE7zSYkScLExATy+Tzy+TySdKwSgx9hDuGUMBGFsZERlHQdjUZj4GxSRuBiC02hU2o8kL6xGBUzaLVau1HmZwgvkCnSVBW1Wo0QPRKJbWdsUOtV8M8goY9t7lG/43lQ6KCGKFasaZqoVCrY2tpCuVxGs9VCNpOB7TgYHx31R/KJothlDJmQukMJa2z9hJ0+X+LyA0k/YRKhS9O6LPsjiSLiiQQmp6YAEENmGAYURUG5UsFWuYzl5WVomobRXA75iQlM5PMYGx/v2IuYM8Jz3EDDB5B0t0QZsS1FgUsVfPreC2tJo8O8VVWFoihEiILj4FgWmo1GR0vLp8RnbzBdmtv3XJeIEGgaRkdHUavVILEvYwhjyYF6cUwoINj8G/EyuHSBCYIAkaZea/U6KuWybyRjsRjy+Tz2TE/jxMmTSMbjePHyJSRZxqHACC9GGrJpTdK2LBhU59L/DLct2h4UbzdNE7IkwXacDnGDoLReUBUo2PTMZgAyooHrun56h4GdSxRFxGhqhhnokZERFCYmUG82EaOz89rtNsrlMtY3NvDw0SPwHOcbz4mJCV+hR+A4OH1qSy6tJXO0/zI3MoKNchmqpvX1stl3B46DR2dqarT+5HkeErGYL7VnWdZnsch2sQ2PEvcsw0C5UiEj4hIJGPU6mUazE+c3AI7j4PVx0nTDgO26SKVSaLfbMC0LtVoNW9TZVVQV4zTyOnHypB/R/Ptf/4pz33/f4ci5ruuLjpuWBduyOkQ2PLpGmWg7T1OuFh3YzNo1guvZVwKi1x/sJ2Vr2aSTXHia3o0aycfqngLNfLHaZyaTIWs0n4dumr7WbrVaxdbWFh49eoRGs4lcLoeJfB75iQl/3+UC/I8oMKPNvreRkRFoVAB/UEYKIIbZcV1SWkkmoVGjmUokEIvF0KjXkR0Z+SyizM/eYHq0KN1sNqG02/7oqEq12ne4a9dxIhZikJkVXmhswzV0HW9XVrBWKiGdTCI/Po6ZPXtw6uTJLpKRB+DVq1c4cfJk13lY6lYKyNKx8TisPuF5ZJCyDfjkJEVRYMViPXuSwgIAYRiGQRhrdPKKJIp+24jA875x9F/6EHjagGxalq/RmU6nsX//fgDwDejW1hYeP34M2zRx8+ZNLBw8SCK8KGckQLxiSKfTaDQaaCkKLMsa7JkGPPgklVIzAwO+1XYb7WTys1hkuyBwXRee45BorlYDz3GYKBRQbzQ63sVB4LxuXVIg5AQHNnCHKk+Zuo6N9XUsLy9D1XVM5PMYHx/H6TNnSHoytD+8W11FOpPpynowUpAky4jRdem6LskY2TYsWnt06RADZmh004RpGBAj7pMZyn6tFI5tEwdalsGLos9nEGgtlDnZHj1vFORYDIZp+scpFAooUBUyx3FQqVRQLpfx+PFjVCsVXy+7OD0d2V7CskThLNNYLocWrU2nhjSa8Dx/WDyTM0zE4zCpA/w5RJmfv8G0baiKgraiIJ5MYiSXg0FbOSQ6UmvwQfqnE4IpWtu2USqV8PL1a1QrFYyPj2NiYgKzs7OYmpzsy8arVKtwXBcT+Xy/k/lpYUEUIQB+DS4I5sU6tu3XHjoEjOk9JajIPGjUxep4zCvk6YJK05FFwbrHsGA1Hdu2u8hVzICOjo5ia2sLHvVm7927B13XMTU1hZmZGYxTEkA/1l1uZMTX/Z3sJSXIQEkfLoijkojHoVNSBjyPkCE+k0W2CwKPvs/NZhOubWN0dJQQ5yxrKNLeMPCdYJr2bDWbePHqFdZWV+F6HvYUizh0+DDy+TzSAzbyV69fY25urs8Nbb/LPM/7mRop5Hj6047abUiiiFQq1bWWmTscXM/sXlgJwnYcCKLYNRO0az33qTmyqNOgBjMIQRB8A3r37l0S5aXTKJfLePToETKZDGZmZlCcnkZMlv2ospdweyIWg6qqvnHui8DzEAQByVSKkCg1DR7HkRGM7fYnd4A/a4PpOg70dpu0bVABAYHnYdk2bM/rMjLvC8dxsLm+jpXVVZTW1pBIp5HP5/HV2bO+EDSbnNCPXfv61SscOHCgPwM34kX2Il7w4AJkFPco9CIjMYSvhOu1mPoYMkmSIPA8DNOM3NgqlQp+/vlnnDhxAjdu3MCxY8dwbHERiqLg7Zs3uHv3LjRNw/SePb7xjOpFk2SZNJVbFhRVHeiZshqWL5NHI3HdNKE0m8gXCtCoEtQuPj0cWkczDQPJVMpnqpqWhdgQwucMg1odWq0WVlZWsLq6ClXXMZbL4YsTJ7Bnehocx6FSrQ5kybfabTTqdUx/803vD/Wpl3YIs3McBJqalWU50ni4gXe4F6IY5JGRdu8rBkAcYEXTIvkTnufh5s2b0HUdMzMzkCQJhw4fhus4WF9fx9t373DvwQOMZLOYmZnB9PS0L78XRjaTgW1ZqNbrKOTzfWu34elNTOig1WoRIpOq+u1tH0X44T3xWRtMk1K2Pc8jTDT6olmmSbRHh0nh9Flcmqbh1cuXeL28jJFsFnv27MHRY8eg04kJMUrY4QF/VFivRWJYFlZXV/Gvx4/v/EZ7XOOvQRIAtgvtQ/8+x0GmtcHwZrCxsYFbt27h7NmzGB0dJQaVRuzJZBKHjhzBwsGDaCsKVldWcO/uXTi2jbmFBezfv78rrZ5IJsFpGhq0btov8mBiB3bgXmKxmC/UrakqBEFANpsd+l538evAcRwo9bpvHJOJBDgaObisfjUIAaZ7eM14rov1UgkvXr5Eq9XC9PQ0Tp06BUkUYds2RnI5/7PDvP+vl5cxOzu74ylB/ZxqNv/xY6Kf6lEvSLIMjur2BttrHMfB0tISOI7DhQsXcP/+fcTpv3OCgKliEZPFIizTxMbGBlZXV/Ho8WNMFQqYX1joItnxPI9sNguFTjUZGbAOOXQSjBiJSdd11KpVpLNZXybxU+GzNZiO46BVq8HzPIiSRIwlfREt2x6ufhkk1QR+Vq1W8eLFC2xsbmJ27158//33/kiwVrPpN/r6qdo+bR8M796+xRRtGemHnRgrf9Dte5Ag+l4DeiuR9EJMkqBpGgzD8D3KlZUVPHjwAOfPn8fo6Cg0TYMgCF1pIp7nkUqlcOjwYRw6fBg1+vyfPHmC2ZkZLCwskGkRIAtmZGQE1WoVjVYL4wNSMB7XKZXGgdQ026qK9VIJ+6jIxG6U+WnRrtdh2bZPSmHrxKS1+/f9fizLwvLyMl6+fIlYLIaFhQVMT0+TFKZloUHVwBhzlaHfGrRdF2+Wl3Hp++/f65p6YVCG6qMdl+f9+aJR4HkeMSr1yYyPZVm4du0a0uk0zpw5A4DUTAVB6OIcCIKA4vQ0itPTsC0Ly69fY2lpCfF4HPPz89izZw9x8uk+6nmeX48cmJqla5kDcYJkSSLjFut1jCuK3473qfDZGsza1hY4z/OJAHLAENnDGswAXNfFyrt3ePHiBUzTxNzcHE6fPg0xsFBty4JJVYP8+gFjrvaJ8hjZ52SI7BP52aiULKLTKKxG8KE6sl0Ysq8qiDD55/Xr13jy5AkuXryIDGW1mkyRKKKmEjTSo2Nj+Orrr6FrGl6+eoW//+MfGBsfx/59+5BMJiHLMtLpNJrtNpmP2Cddx1h8wZoQ6+FqNRpo1Ou7PZmfGLquw2i1iMKM43Sk8GzLInJoQwxuZuBAyGYvX7zAW+qofv3VVxgNRTiaqoLNXQW2HU+R59FPwLG0thZJ9hkG/STxvA9MJ/ZKv/JcaNzXEGs7SP5xXRdXrlxBoVDAF1984T9rwzQhsD7X4PEDjFlRkrBw6BAWFhZQWl/Hy5cv8eDBA8zNzaFQKJCxirkcjI0N1BoNTE5M9L0uVq9lxCUOJE2t2jbWV1cRTySQy+U+WVr2szSYmqbBNQzE6XitZDLZscl7AUM6CK7nYfn1azx8/BiZdBpHjhzB5ORkpJKIpmn+FxREuB4RJt5UqlW4nod8P7JP8PeDnq7r9m29+GCPNCqN3MNoDwIj//zyyy949+4dLl26hGQq5aeOLSrDF4UoWno8kcDi4iKOHDmCd+/e4eGjR/BcF4uLi5iamoKm635qttcCYd8Hkw1jkGgrzubGBkbHxnbTsp8InuehVatBZCQ0z9uOMqiT43re0Btgs9XCgwcPsFUu48D+/fjzn//spw2DsC0LJiXMda2hAPGuYy3TtfJqebk/2YcdBhHR3aDyyoes52BKOngd4T1liEMx8k+90cDdO3cwOzuLw4cP+9khDogk+bHzdWWpeN6POhuNBl68eIGnz55henoaXxw/jmw2i1qjMZibwHGEBc0FZgNzHBLJJJq0rjw+Pv7JoszP0mC2Gw2I2F5I4TB+mNSG53lYX1/Hg/v3EY/H8e233/ZUywHIy2FaFmGpRbWfhNJ+9B/gAXj9+jX27d//XsYtivATvIdfY7JBFPGnF1U/CEmS8OL5c5QrFXz33XeIU4kthl4LjJ2zVypYEATs378fe4pFvF1ZwcOHD/Hq1SssLCzAdRxouj6QABSV6o7JMhqtFhqNBvL5/G6U+Qmg6zo80yTTflj9KfD+MUMyaO3opolfHj/GysoKDh48iC/Pnu1bD+zl/ALEeXNp/2LHWuY4MnuzWkXx3Lmh7i983b32pqAy0XujR4mma00NmT0yTBNLS0s4fPgw5ubmuvY323F25AAzjIyM4Msvv8T+/fvx6tUr/PDDD5hfWEA2m0Wr3UaCygL2Q3gtszRypVxGYXJy12AyaJoG17IQpySTjonqdKENEluu1+t4cP8+VE3DF198gampqe2J5r3Oq6pkgUWk/1irRq9xPaW1Nfz5z38GQNOr1PhEyruFf9Dn5f4oJIEez2pYr5R9xvM83L59G61WC6dPn46sRdi2DaEfSafPImPXMD4+jn379mF5eRm3bt9GbmQE0zMzfReZF3jewXvieR4xWUa1WsXk5OQnp6T/3uB5Hlr1OkT6vfA831njDwgN9PpuXcfBs+fP8fz5c8zs3Yu//OUvkGW5r+ZwP+cX6M0U5wCsra5i7969HY5fv4lBQSdwEOEHwIfPtY1Al7PY4/6Cn6lWq/j5+nUcPHiQsIcjjvu+DjCDJElYPHYMhw8dwsOHD/H61Svs2buXtKINYsBHfL+yLEOl6lD5fP5XqQcPwmdnMNvNJmSQhcLINwA6Uoseol88TdPw+PFjrK2t4ejRozhw4MBQKZChFhiiDebW5iYy2ax/nUH1Dv9aA7+7k8rhxyAJ9Dpf+GVnfah+xBuIOF3XxY0bN+A4Dr799luomgbbtruYjYNqy4MWmUvvl+c4zM/NYXbvXjx6+BAP799HrVrF8ePHI5u+2TWy+wg+sXg8jkathkqlsmswf2Poug7XsiDTfrwO5zeAqDfcA7Dy7h0ePHiA0VwO34fUdiJLDRT9nF+AzjTs4aiurK7ieIjpHhkxYmfkOVbX/5CUbL+Zn+G9IvhZL/Szzc1N3Lx5E19++SVSqZTPSwjDtqye6w0Y7ACztHcmk8H58+extbWFO3fvolQq4dSJE0QZLHxMkCDEz+oFjs9Ui8rlMqanp32i5m+Jz2oepqZpcAwDsizDNE3EIkbWuBEvjQfgzfIyfvjb3yDLMv71X/8V83NzHS9nv9eUjdzpxXBlxjnKYK6srGCmz1DZYB7eV+EPXHdHA3Pwnj4CSYAeqEt7Mhg1BmX0mCpJ8Jps28aVK1fA8zzOnz/vC0xHzakzDWMgGauvhx3y5CVJwqnTp3HixAk0Wy38nx9+wFa53PVrLq0DM8JAEDzPgwewub7eMVppF78+2s0mZI7bdn6D6yvghIbXuKZpuPzjj3j27Bm+PHsW33zzTTcBp4fhYc5vvIfzCwCIIqaBDDrQVNWftNEPwXUNkLXsonN9BcEIfB+brMIMN3PKveAaZms6cE1ra2u4dfMmzp07h8nJSciy7A9lCEM3jA6yZRj99lSmVBb8DiYmJnDxwgUUJibw882buHPnTtd53R7PjyGRSKBWLqNSqfQ5+6+HzyrC1HWd1C7py9Xh9YSNH2sxsSzcuXMHzUYD33/33UAd0jBs2yatEolEX2IJR8XSO37XdbG2toZjx44Nfb6onkigM+3jobO2E+z/ZAw4j3pf7NXi6GdYpMjSMh3alGEEfxbx76Zp4urVq8jlcjh18qR/DbIkkdFkXucwXFXTkKSKQj3vv0+U2Wuh5CcmwIsiTMPA0s8/Y/+BAzh69KjPDgwejwPZuPwI33URj8XQajbRarV6Rh27+LiwbRsOnTupGwZxfqPWV8iora2t4fbt25ifm8OhQ4d6G5geaUeNDqbu197FWOfh93dlZQXTVNxgWLD1yWF7DQLd7zIj8Pk/Z8Qj+nff2LHjsmxP8BiMmIRAGQLU8eY4IgfIjh2B5eVl/PL4Mb69cMHnc0iSBA5kHw2WfyzLAjiuZw2TnYdpRofh72eh7y+ZTKJYLGJ0fByr797h7//4B746e9bb73mrAAAgAElEQVS/nmBEyQFAKIoVBAEeSEp53759va/tV8JnFWGauu5P4paoen0YXoBtVqlU8F80qvzDn/60Y2MJbEeXgxRzhBALE+hOx+4YgRctGH0GU7g8i0wRcBRYyjeUPg0KNgdTqj1PH/ozCE3T8OOPP6JQKODUqVMdi1CiQ7LD0+k1XR/qWfRKSzHR9jCSdOZlLB7HH/74R9SqVVz+8Ue0FcUfpN1x/MB7w3Fk5p9hGP5muotfH6Zp+puL67rbkUpoc2W1Tdu2cefOHdy/fx/fnD+PI0eP7jgas6nWaj/nFyCbOAdS9gliZXUVe2ZmdnTOnucIZJRYzZQP/gzbZEIE/x4sh7D1HPxZj6xZOIsUxvPnz/Hs2TN8d+lSB/mR44i+tBnKGGm6juQw+1qvtYztyDcMpti2uLiI+fl5XP7pJ7x8+RJOxJ7V5Vx7HmKiiGazCTMgeP9b4bMxmI7jwKVfmuN52/WxoBHAdtrh1atXuHrtGk6ePImTJ08O7FWM+uJc14VOG/EHLU5OELo8qUHp2A+BX/P4kL6tPmSFfj9vt9v48ccfsX/fvsjoWaRCz+G0rKaqw7HXehEj+tSl2KxMm9ZRp4pF/Pd//zfevXvXzfgNn442Udfr9cHXtouPAmYwHcfxRcKj4HkeVE3DP/7+d5iGgT/96U8Y7yHaPwi6YQAYwvml70MwLbuTdGwv9EslfhRJtz5kx35R8aNHj/DmzRtc+u67yLpfVFpW07TIdp2IE0feV1RKloE5wG1Fwd69e3Hp0iUsv3mDq1euQI8wgh0ONo16dVWFqqqDr+8j47MxmGyBsUb0jlRA4IHpuo5bt25hbW0N57/5BkU68+19FpgxZHQJkEXmBV4olo6d/gCD2W+BeW433T6q3hmMEj1gYFTZgUBEy1Cv13H5xx9x+PBhLBw82PNXZTryLHgPmqr2FRkInjdy8/A8wpyMAFMJURQFrudhfn4e58+fx+MnT3Drzp2umlR4ocZEEc16vSsq3sWvA1PTINHIUQw6vyE8fPgQ9+/fR6FQwJdffrnd+jMgLRr+V891YdLU7yDDxNMIL5gxWl1dRbFYfG+SXS/jwNDlDIYCgUGsVh87uT7Pw507d7C1tYVLly71NIDBtCyDrmlDt25w9Fydp45OyTIwB1hRVaTSaVy8eBHpdBp/++EH1Gq1zuMHjuG5LomIDeP3bTANw4AIwpBibKjwl2AaBq5fv44kHdt048YN/NcPP+DBw4coV6s7MxaeB52SVIYRQeCo4gU7x9bmJtLZ7HAGIuLcvX7OUqsOq096ZHyOv3hCRXyg20gyAo/rOJFeKRf6k/1+pVLB1atXcer0aezfv7/vLbC0bHAen6brw3mliI74mW5vL2QzGbiui7aiwPM85HI5/OkPf4CqKLixtNSxAYYXqkSN7S7x59eHny2iNWY5aAQDG/7rly/RbDQwkc+j0WziP/7jP3D9+nUsLy+TqTM7gEEl9oYRcecCNUyGlZUVzOzdu6NzAtjep1htMfTvQSIOM9LM8fWC/87+zn5ODu7/3R8T1mPv4AL3w461dOMGFEXBxYsX+0rSRaVlGat5yIfQ5aQMym4xB7itKLBtGzzP4/jx4zh16hSuXrnSSeoJcjjouRzXRT1kWH8LfDakH8eySKE7+NIHI0tNw+XLl1GcnkYqlUI6k8FoLod6rYbVtTXcuXULpmVhamoK09PTmJiY6KBE+15QgCzkuC4SQ8xqA0gNk1GeRZ4nC2x6esf3yRYA53XPkQO7RgRqmO/Rh8mFUhg+GShwDR3X47pYX1/Hrdu38fVXX5H5eANqoMG0rExrhLIkDX+9XKcGLHME+nnp8XjcT+UwIQNBFHH+m2+wdOMGrl+/jnPnzpH0X4D4BACSKKKtqtB1/ZPQ0X9PcOhwZMdxwIN8R+E2kOfPnuHlq1c4e/YsVF3Hgf37YRoG1unUoHv37yM3MoJisUhaCAaQyQxdh0Cn+wwC23RZDbOtKFDfMx0bJNX1ah1jhpDNq3wf+OSiCKk6/zOUmGhZFn6+fh2iIODChQvEQRiQgZNlGaZt+xNMNF0fKJYevr7gOaK6GcLIZDLYLJeha5o/aJrpAF+7dg1ff/21P6uTC2T4OI6DLAhotVoD94yPjc/GYMLz/Mb3jhQOx0FVVfz44484cOAADh86hLdv38KxbXAch9GxMeRGR7G4uIh2u43S2hqeP3+OGzduoFAooFgsElH0gHg7QOodPMcNNyUBpIYJEOPicBzp9ezDju1gq4aPxV7+Pl+057ofJqOFwMLtVcOkf7599w7379/H+W++wdjYWIcRYylSv/geWBSMLet53vA1jwD4AMOONaL3MrjMa04kEtDrdVJ7pql0XhRx7tw53Lx1C1evXsX58+eJQQ/UqXieh0W1M3fx64Oj9eZ42CH1PF9a8ftLl2BaFlRdh+M4kGMxzM7OYu/sLBm5t7mJtbU1/POf/0RMljFFjefo6GiHs2XbNmzb9jfdYRAUYx+Uju27lrH9bvbCsGpGgzAog8aBiNlfuXwZ6WwWZ06f7oyAAwSk8LHCbFld0zA5OTn8xYXY7y51mvo9U1mWIfA8lIDBBIDC5CTOnTuHpaUlnDlzBsVisZunIAhoK8pvaiyBz8hgcp4H07KQYQQc+gW3Wy1cvnwZhw4fxjzVdxQEYVvpI/AypNNpHDx4EAcPHoRhmiitr6O0toZ79+4hl8uhMDmJYrGIRCIBwzR7NlJHQaAvm+u6qFQqXelYN8oA9jv2AI/vo4oW9DoOx+Hlixd48uwZLl682K23GvAa/WMFFp5E5c4s24b6HgYT2N5wmLcfRd5iKSlQg9loNqGpakftmeN5nD17Fndu38ZPP/2ECxcudNTB2fSEVqu142vcxc7BNkw/FUjfpQcPHmBjcxOXvv/en18KjvMnY7D3TBAEFKemUJyaggei17xeKuHWzZuwbBtTU1OYnJrCxMSEn74dOAkjAF4QfOdpZWUFxxYX/X+LXJkfsBYH1fOGPg76G11D0/DjTz8hn8/ji+PHO6+Zi2h3YXsMXc8iTcvG43GoOyivbJ9i24lxXbe38+ttt7slEwk0aVpWFEX/98fzeZw/fx7Xrl3DyRMnSLo8cHye42BSR+tjj0zrh8/GYHqOA8d1O/Q+TcPA5cuXcfTo0Y6amiCKnTWOiBcjJsvYPzuL/bOzRIR7cxOrq6t4+vQpZEnCSC6HuQMH/Ll8g8DRZmfHdbG+sYHJQqFzQsAOF9Qgb9Gl6ZcPQp+0iOd5ePrkCV4vL+MPfQgBXQgsPJHWmh3bJhHmTgd6c5yvFuLQ6QRRhI1gbZLnebKgNc2XDgzWS86cOYN79+7h2rVruPjddx2LmOd5KO32zq5xFzuGR9OCMUnq2ASfPH3qE1BYZkcQBPAcB9txIIedSGpkOY5DfmwM+bExHF9cRKvdxuraGp48eYKln3/GSC6HyclJpNPpoY0mD8qSN000mk2MjY7ueORdxz33cXA/hsoPPUlPw62027h8+TJmZ2exsLAwnIHnuI6skSQIMCmRT1WU4dpKOg633QvqhvZyYDtSD9aOk8kk2ooCRVVJCjjgpOdGR3Hx4kX8dOUKpFiM7Ln0GQg8D50qjv0uDaZNvT1JkvwXd+nmTeydne0ioAiBdMowL7koCJguFjFVLOKkbePt27fYKpdx6/Zt2LaN6WIRxelpTOTz3V6RRxuIOSLZ5jgONtbXcZrOjHsfdPUWRcBz3b66rEOhh8H0PA8P7t9HuVzG999/T575gIg3EjTKNEwT7VYLmXS6S4FpWLB6blA5hf08jHQqBVXToGpad22L43Di5Elcu3IFjx89wuLx4359lOc4qIqyo1vcxXvAdeFYFsRUyn/Xy1tbePnyJf70xz92lEF4QfC5AZFgG39gI82k0zhCR0o1mk28efMGW1tbePLkCUZHR/31HE7RBvcMVgtcL5WQHx9//7Xm9daN9j/ykVKy6OFEN+t1XLl2DYcOHcL+ffv66uz2gyTL4A0DCiXVSbK8s9m5tDbMmOjBvZRxJaJSwbIkQdd1ZNLpLoc5k83i7NmzuHnzJnl3YjFw9DlYVHRm0Azij4nPxmC6tCYpUAbUk6dP4dp2ZB8gT+fq9U1rspcz9BnHtpHOZPxhz61WC2tra/jl8WMstdskbTs1hampKZLSCzDgBEGAoijQNA25wAT3nYIbMOCVXPaHR5hRTDXPdXH79m0o7Ta+++47CKIYKYs1LCRRhGGaaDabyDMPkIEbLNDMjKTrOB3p2KCqSRiyLEMSBKiahkw63WXsOY7D2bNn8bd//AP5fB6FwHXtlH25i53DMU24NAPhgRBylm7cwNmzZ7taFURRJKOkIgQoIhEwnKweNzszg5Hjx2HbNjY2NrBeKuGXX35BgqrKFKenSfQSiNAEaqg3NjZQ2EmtLuJ6BjmbH2VSCT1O2ORWKxVcv34dJ06exMzMTAdrfadg0X690UA2k+kk5TGWKgavZzZwms3SZCWXXg5DKpVCtVYjcqgRUe3ExAQOHDiApaUlXLx4kaj/0P1BVZTfdHTfZ2EwWXTBUjPlSsX3RqPSGGxjdYZpBg4uMI+0kvDYrndkMhkcPnwYhw4dgq7rWCuV8O7tW9y5fRuj4+OYnpoidc9kEoIoolwuY6JQ+Dgvf6+COGPVfaQaJjuP6zhYou0XFy5ehBBIl70v2IbXaDa7lZYC5AIm+RcFtshEURyoJcmQSCTQaLVgGAakiDScHI/j67NnsbS0hO//8AeicctxsHZJP78+aGrdo0zwpRs3sG/fPkxSxmMQTETAse2+KUcAXf/mhMg+oihiz5492LNnD1zHQaVaxdrqKn6+dg2u5xHGbbGI8XzeT+Ntbm7i4KFD732rvSafBMHmS34MTkLwGJsbG7hx4wa+PHsWU7Qfnec4vL/7SyK+ZqPRzSQPZfR6rmeOIxEu3d+GITzF43HwggBF03q2BR05fBjVchmPHj/G8cVFuI5DSiy/ccboszCYnmWB5zjy0BQFS0tLkd4oA3vZHfrQBoKl+VzX1431v0BvuwcqFovhwP79OLB/v++tlkolPP7lF6SSSeQLBWxubHyQWAEwmNDz0Vh1Ae/Qsixcv34d8VgM577+2mf9dnzuPcBTuvcglmI42g2e0XXd7WkjQ15LKpVCq92GpuuRBhMgxIH5+XncWFrC2a++Aud5cBwHtmlC3AFBZBc7g22aEGnm4pfHj+F5Ho4ePdrz8wLPk4zRsO87NVKGaQKe11G39BmrHIfx8XGMj4/jiy++QJNmkh4+eoS2omCKCo+7rovMe0hqBuHx/LaOa9S/f4xB8Ni+LwBYXVnBvXv38M0332A8MLj+Q88iiiIUTUNqQOtVWPu6499otmDYXYXneSTicSgB8k8XaNbov//+d4yNjyOVTEIQhN9cvOCzMJi2aYLneYgAHjx4gP09vFEGURTBUSOwk6HApm2DEwTEZHm7ntFjgw56q57rolypYGVlBeVqFe12G4qi+N7qx4g2WUMz66NibS+sHsAK5mxDYNfNWJ++Di23rTNrmCZMw0C71cLSjRsYHR3FyRMnutR0PpSRa5gm6YscFCGg04jTH5DogjpMw0IQBJ/8k46ofTAcOnQIm5ubePX6Nab37AHHkSHBo2NjQ59rFzuDa9uQYzE0m028ePkS//KXv/TNloiiuPPIn+PIdBw60chXwYpazxyHbDaLbDaLI0eOQNM0lEolPHv6FIZh4OrVq370+V5M71CbRnAtu64LTddJ/7aqbkdqgev1PA/M3LZaLb+UEY5KDV0HB6J5+/zZM5w/fx65jzyyThRFaO02ChGjt6IQXM8cSDRtUYb0TpBKJqEqCjRay4yCHI/jq6++wrWff8a358+TftHfY4RpU4UJ07JQLpdx9uzZvp+XYzFwIPWonfReWVR+TxCEbQX8IRmyExMTECUJ7969w9mzZ1GpVPDg4UOoioKpqSlM0X7PXo3THo1uHNuGaduwTHN7YYUWOROR7hiVxW0LNrPGayAUsXmeX1j3PA+WYaDdbuPunTuYKBRw4MABtChLlKcMVQ6AA0DkefA876fIdgKVeqS24wzVOM42CbZpsOhyp45HIpGARsUIer4HHIfjx4/jp6tXfd3fdqu1azB/JbiuS3oqJQmPlpexsLAwUDFGkmW0dyiMb9s2XM9DPOD8AhjKaUskEpibm8PK6iqm9uzBSDaL0toaHj96hHQ6jaliEcViEdlstqcj6TiO/59OJ/e4jrNtCAPQdd138Jkz6/9JS1EMwelFjCgDz4PjeTBtG6uvXmF9YwOnT50Cx/NoNBr+WDsmUMDqhwINLHYCnuehqOrOHAe6lh3XJdfwHoPvZVmGJEnQVLWnwQRI1mh8dBSra2vYOzMD7fcYYTq2DY7nsfz6NfYOIU8l8LzPzhwWnudBN03C0AtFVMOmDspbWxgbH0cylcJEoYAjR49CVVWU1taw/Po1bt++jXw+j8nJSUwUCqQm5ziwHaeD7ckMpUCVP3habOeowWJpiWwmM/DF66das2WaePrkCRYOHsT83BzxeFk0S//uOQ5My4IR2HREnifXJAgQh1h4SruNVCrVd0I7AN+7DjoIHIjDxJ7DTtJX8ViMNFkPcJySqRSy2ayv/fshJKdd9IdrWaT0YVlk6PcQo+9Ylsg0zaHbQgxKLJJoDZ1h2LXsui6qlQrm5uYwMTGBmZkZuI6DcrmMtbU1XL16FTzPo1gsolAoYGRkhDgD1CEIZqg8xwFHVYY4niflJeqAMoMoiGJftSK2JnqtZ8e28erFC1SqVXz/3XeQ43F4juNL5rG1zRxyBnYdbE0LgtDXKbYsi7T4MMJjv7UYcHiZI+/Yti9K0EEaGgKJZBL1RgMmVQ+LPqWH2X37cOfOHczs2UNS+b8hPhuDaeg6yuUyvjl/Hrqu9021si9kmPw1i7x0tsAiFiQX/GwfrG9soFAodHxJyWQS+w8cwMzMDDRdx/r6OqmVPHzo1z2nJieRzWYhiqKvk2tRIxGFjyEQXq/XsbS0hPn5eRyipIYo0+sBiFsW8djpZuAwIx/QlmSyY+y/4LW32m1MFgqwbBuRsQTbXFy3a8YfQL5/f+OjG0zUgN8wBEFALBaD2kcf1qO1roX5edy+dQvFYnHXYP6KYO/uy5cvMT8/DxcYWDqJxWIQaAlhkMFk69nQdUjUAHTMUAxEaB1M+dB7V6vVkEgmEaPiCTw1KBOFAkbHxnDo8GFUq1VsbGzg3r17MEwT+fFxFAoFMnhZkiBQHWonNIQgCh9SW/RcF3fv3EG90cC33367XV+McE5dx4FFJe4c6qg7tg2DGjJ2LYIoQqJrOWhAW4H2sJ4Zo0BpCOhMGzODyfqjd2I0WR+3yQKbCJimiXQmg0wmg7W1ta6Ww18bn4fBdBy8fv0aC/PzyGQyaLfbfb0MeGT8V5O+FD1HBwEATVHaNB0rSVLHAguiw1MNtUe4rotKuYzFxUVYlgWDKtwwQwOQNOfMzAwO7N8PjudRpeokd27fJsol09MoFosYyeX69219IA19a2sLSz//jKNHj2KiTy2Y3TPHccTzFISOjc1PI1NSj2lZflQvBgxos9HAoYMHiUFkaRlygM4UVcQ9u44DF6Q9hUnlDWMsGWKxGFRN6xmdGKYJz3Uxkc+TKLNUwqEjR4Y+/i52Bse2oakqNjc38S//8i9Qacq8n8FkQv6GYfRMxwXrfY7rwnZdQgrssY46MkhBJiv9+ebmpt8IbxgGbNv21zNDNpvF2Pg4REGAYRh+y8rjx49RmJjwSzGsfaYXPkSExHUc3Lx5E7pp4tSpU4N7Drlt1Z4OY0fTui5dy7ZtQ6OOpv95QUCj0UA6kwEof0IM6AAzEfl+UadN9YNF2vrHSi+CIET2VAfBrsEwjMho3KWkTZHncezYMSwtLWF2dvbjjE4bEp/cYDqOA03TsLm5iTOnT0Ok+oK6ppGoo8eXI8di4Hk+so4ZXFwMhmlCpAszPMU7Ch2eKoDNchmpdBqmaZLBxfQlkEQRYiwGSRS7mp+naD/nyVOnUK/Xsba2hrt370JVVUxMTGB6ehqFQqHL4LsRntuwKJVKuH3rFr7++mvEk8mBnm1Ub1fwGbCFF4vFAM+DTaNP27ahmyYcTYNumkR9yTT9aGJYk8c2qF6p3L4eKmU2A6SeHTaYruvCNE3iDIgiFg4dwp07d3YjzF8RlmXh7coK5ufm/DmL/Rxg1j4lyzLMiEwBixSD69Vi7FhR7CLcRIFlLtj54HlYK5UwNzeHtqJA4HnEEwlCJIvF/Hc+uAnLsoxMJoOFhQUiEk8Z9Hfv3UMmk8Hk5CQRiQ8Z/KCU205h2zZ+vnYNoiTh3FdfQaO10H5gU1G6ngnHQeA4v5zFro0ZT9u2oVkWKpUKYrEYXMeB7rqIx2KdmaEB53eoHji7ZyYZGixDRTnE7JpjsuyreIWNoGma5DOxGOKJBJKpFNZKpd+XwbRtG9VKBfnxcT9dmkgm0W63Ydl2zygzFouBRzfxJzz6ip3D9TwkdsCoBYjhMqlg9+rKCtKZDHieRywWQyqZHFqLluM4jI6OYnR0FMeOHUOr1cLK6ipevHiBmzdvYmJighANqJjC+7JW3759i4cPHuDbb7/F6NgYWq3W4OPspKUk6LnS61xfX/cZsrqqwrYspJJJSLLclbqNAjNerLc2vNj7ilpTp0WkUonh9gCTRpexeBzwPORGRgDPQ7PZHP6ed7EjOI6DSrnst5HIsgyB46CpKqQoEg39fmVZRj1kMKMcX4CQA3laW2efG2a12LYNwzShGwZqtRqSiQSJiHgeI9ns0EQVJhI/OzsLy7KwubGBdysr+PHHHyFJki+WMDY6+t7Or2WauHLlCrLZLE6fPu07lv2O4u8bwYi6D5geNDOgjuOg2Wph/759sGwbuqaBAyFlyUOMQXRpTdUnK4augwsZ0K6pSh6ZVKVoGizbJgMz2LFdF6ZlkTQ8TSEXJiZQKZcHRq4fE5/cYDqOg3qthkKgl0iWZYg8D1VRII6MdHhn7PELPA8xQPzptbiA7Vl5zPj2a6L3KBvNNAxYluUzztqKgn1792J8bAzVet3/fS/0QgyDVCqFgwsLWJifh0FHGpVKJTy4fx/ZbBbj4+PIT0wAIyNDHQ8AXr54gefPn+O7775DhipfeK4LbhBrlS2wHYI5JvV6HfnxcWSzWbieB80wYDsOLFUli02SfOMZBctxOiJzrkf073nbzfBhsHp20NN0HAcm7Qf0x315ZIZmaW1tx/e7i+HQarXgOI6fWuUAJFIptNtt0gPdgzEbC9avKPM16rt2PTKkIR7YTPk+WQiHpvFM0yQsTpBB55lMBvl8HpqmQaWRG8u2hAU/+kEQBCICT9O71VoNpbU13Ll9G6ZpolAoIDc6isQOerd1TcNPP/2EqWIRi4uLHVmWftfk72tDGkyGYNmkXq+j+M03ZG2DpkF1HQa9VyZlF5ViZmpNzPHoJ8zCBmz4+yj9M0bl+Aw6DJxB13Xi/FL2rue6yOVyWF5e9gc3/Bb45AYTAGr1eldjcyKVQrvVgtpuI5VOdwgNMLCN0i9A93hJLMOAJAh96wislqEbBlEQ4jjEYjHEZBmCIKDVaCBPx+UwJmv4hWBGu9+i61DKoCnFffv2Yd++fWSk0dYW3rx5g+XlZcTjcX++JxtpxOBUSf+R29bx9N1rvHv3DpcuXUIykPsPK4NE3jfdRHo8lO1UFnu+IQp8rV5HkaqMxGQZnusincmQNI9lwaT/CbT/1U+L03N7rgshEPn3ut6oTYP9fzwWg6qqMOkEGtd1fUKYH7HTz+dyOWxsbPR9Jrt4f2xtbmJ0bKzjnWJRjKppHXXy4GplkahhGJAkyVfHCcOiRLQO8l6E1KRt29B1HQb7vCiSeaqyjFqthrGxMb/kwAG+0hQA/13xiUN9nGI/qqN/jo+NYXxsDMePH0e73cbKygqWl5fx+NEjf9xgsVjsFFuwHVivyMDkdquFK1eu4MCBAzh0+HDHeaLO33Et7HEAvdV+gkYqkMniQNS6ksmkry0tU2dXEkVYlMOg6zohXMViiIXm3zqsvMIMJnqXVNjz9Wd10s/4GSNdB2jGiNWYZVkm53NduCDtQY7joF6vY+o9+mffB5/cYCqKAsMwMBKIpjiQmlYymYSiquB1HclEossgypKEJt2Ye6VTHMfZJggEEJySYRgG8WDoedPJJKmP0JdJ1TR4gH8Mic6BDCNYK/GZt0GyQZgEEwIbaZRKJsEtLsI0DJRKJdy6dQs2HWlUnJ5G+rUC5f+7C3wNLP0//wFlfwqX/nipy3v3QgYuCiyd5aGzATu4EWzfYPdmwYhQAGHesd4xtknGPQ+WacIwTaiaBp56jpIsw6aMumD06T/DfqnYILEIRFqLA6lTx2IxaLQGkkwkSLtO4F5zo6P45fHjvs9kF++Prc1NzBQKXY5VKplEq9WCoijIZLMkrRb4jtk8Rl3XkaKi7VFgBrPjnQm8t2xTt2wbHMi7EY/FOnSKq9UqxmjDPztOuCWqK12IznIPWzP++o4Y0pxOpzE3N4fJqSnIkoStchlrpRLu3buH0dFRMqs3l4fxf9+EuVoHvgb++X/+hqOnvsDc/HzHsfoR57Y/1MleZdfcqz0kbHyDz4X1ejuOQwIHykh3HIdE7PQ/SZIIy5mSfMKZpODM28jze50SegBxgFuK4rP2DcOAwPMk4vS2GfcAMDY2hjdv3mCqWOz9XD4iPrnBXFlZwWgu15V29TwPciwGx3Wh6zoEQeiqZ8bicYAOIM32YNdZluUTBIJwHMePSjwQ4xuPxSLZfNVqtSPCY15psMDdC+GFxwWEBbpEwwP3znMcxsbGMDY+jsXFRbRaLayvr+PJL7+gsVXFCJW/bCVcnFqJbRvLIEmCeenBBRQ4H1MjYUYl+G/DpKM0TYPnedtanrRlxnYcyIG0jLKdBBQAACAASURBVByL+QbSMAxouu5H8kD3DMxBVHS2wFgqjtViDMOALklkcDFdxEGj77ouMuk0DNMk9PkPlETbRTe2trZwIhAZMXA8j3Q6jWarRSbbZLMdRpGjGR1V0zDe5/gGbTkI91Hr1Ol1XBcCzyOZSBCeQ8R7XKtWMU8NEmv4H6aVK7L+GsiWhJm45CNkncfjceybnSWZJNvG5sYGSuvrePLwEcSCgyT15/c/c7D3bM7/Xd/ZY3KZgXvuMNB0LQfPG7jwgfcGbO9zDCIl8gUhCAKSySRcx4FhWX7piud5mKbZkeEa9twsE8auORaLod1u++Qf5vh0/A6tgY6Nj+Pt27c49803Q93jh+K3oRb1QaPRQDLkUbJQHiAPShJFqIrS0f/ogXil4gA9QZY69QkCrgtFUdBsNEi9JBbDyMgIMul0T+p7rVbrfJGoMXifplk/Jdvn3zoqePQlSmcyWDh4EBdOfo2Ttx1oMcJWbcdd3BPLeP7sGRnLA2oImddN6xr+f6H00ocIvFer1Y70m9+8HPFcmFFLp9NIpVIQBcFX6TFpjZlh0DUxr9kNpJNj8Th0XYeu65BFMfq7pI5IJp1GrVZ7z7veRT+omkbaEiLACwJSqRRc14XSavnfuQdSm0wkEmQj7iFIwgQDggpYpmmi0WiQPYDjkE6lMEKHu0e9R5ZlkSg3cI2yKH5wAzwfYSQ7OBVsHVKiWnF6GqdPn8YFvYj8uoP1nAPXcfByr4u7jx+itLZGlIPY8wmcy/M8cOzZBY7vZ13ec01Xq1WMBRSwWC9lFKeAFwQk4nFkMxnE43FYpglN12EGHGEAvsRfX7D0bKBMBQCtZhMezQ6GyzDMmchmMqjX6+91v++DTx5hAohMGfhpQo4jQtvNJlrNJjKZDHg6ZYPjeSSTSTSbTTJ8OGqBBCZ5G4YBVdN8NlYvDzSMarWKgwcP+v/PIhfbtnc0i60jPRIkHoXu32PRU8QxLNvC84M8kjpQj/P4+paLRlFEvV7HkydP/JFGU5OTvvRdOFpj5Bg3uNiimGsDUK1WO8accRxH+q8GeOsi7blM0OieLbR4ItEpB9gDTH4LgD90muc4v2E76jthToRAI4qPIYa9i070ywoEMwGJZBJKuw1O00i0Qn8vmUqBr9WgqmoH4YOBvVeCKMKxbaia5kc32WzWd2T7oVavYySX62hDEEQRoFKVw7YnBI0iOA4u0LVemSMAhHq82V84Dpu8hrU9PE7+Atw65uH4Ew/KJQm/PHmCGzdvYnJyksj00XFb7Hhh0iHHskocR1LU3s6Y9qZpQlHVjlFZ/j7nupB6PBeOdg3Ytk36PEGETGKyjJgsk+c5QJye1asZGYgJp5iWhfz4eMd3wgV+h+1bv+Va/uQGsydZJ5BK43ge6UwGzWYTjVbLb1sAgGQigWarBU3TSHtDAEwGjuN5NJtNODTHnkwmfSM6qB/T9TzUQqkKgLxMgwxD0GtiL7YT8A477nX7l7p/RmHoOq7eWUJSA+ZeAWtfA4ID5Js8jpw9S2qKlQpKa2tkjJfnYWpqCjN79iCfz/seaJAR6LJzctvT1zvSXX0WXrVaxZGQCIAoij4rud+LbFE5xEw6TXq+dB2KqvrkjL4IRckapaFz6E7vdtwHPsLU+130RK+e3mDGCIBfC9M0DbZtk5olbRORZRmaqmI0Yt4sm4FrGIY/1zSRSPg1bKfPzEWGeq3WNcvWzxhRYknUfQGdaUO2d7D9qxfRxuuznl+/eoXnQg2LD4EEmaGApApMZqaweG4/dF1HqVTC2zdvUK5UkMvlMDMzQ8YNUj5FVOTFzrcTo1mr1TAaElRhM0Mdx+nryLJ+zhRVTjIMg/Rk0/mW/fqywxGo4zhQVNXXwg1yU4LlFY86N94OnJyPgU9uMDmOi5RLA0IsLp5HJpslxIF2m8haxeOIx+MQOA6qqnYZTIt6TYztlUqlOqKPfu0lDO12G3Is1rWQJEkibSfBl5LVysJF986b6iAGdXmlER4pQKjwP125gul8Afn/bIZUibbvJ5/PI5/P48iRI9jc2kKj0cAjNtKIzvacnJzsbvMI3EdHnTN0Lex+GTstPC3BX2Su29fj93vp6H+sXmIYBlrtNiS6eUaxEoN/13UdhmlCkiSkEomO1FW4fsl+9r59rrvoj34RZpjIxVR6NFVFu9VCOp0GJwhIJJOo1mqRCl6qqkKjIu2yLBNSV+AzvdqOgqhUqyiGCCIinZVqOw5kdDq6wfsKH3vQ3gFs19o6f+jh6dOnePPmDc7Yk+CVNUS57fF4HAcOHMCBAwdQq9dRq1ZRrVbx+PFjpFMpohw2NYVsNtsx1sxHxP7GBeuu2F7blWq1ay0zBTDHtoE+mTSfvCdJZFRXIgFJlqHrup89kimnoOv5hI6jaBrgun69u5c+tRu0Db+nCBNAZIQZ9koB8nAzmQwURfH77hKJBBKJBJRQHdO2bdTqdZiWhdFcDslk8r0ebLVWi5xswYwBU7YZJp0Z3qijyC1R9PF2q4WffvoJCwcP4kB+GhW87Dyw2R3pep6HVCqF4tQUjh075o80erO8jNu3bmF8fNxXIooPkBjzOg8McByarRYSyWSX58mmtru2DfQwmK5D6jVyyHmJx2KQJclvB7Bsm2yKAQ+SqYd4nkfm5zkOSf/EYv48vcBBuwxmeMrLLj4eIpnVFGHn0HNd0rLF82i322i2WkhnMkgmEqjX6yQ9SOuMHgibvtlqIZFIIJPJRNeoI9pLwqhWqzhGWd3+tXEcRJ6HbVnw4nGyGQ8wvMMi7HDC8/Dg4UNsbmzg0vffQ/9/byFcsfV0C2EIPI+pyUnMzc354wZLa2u4du0aOMCfljSez/tpysh2jh7EpVqlgr379nV9XhRF6H20moHtaVNBB1kUBKRTKZi0ttlut5FIJLoCD3aFlmWRySO0BGfSkY89Dabr+ryU35XB5Hm+t1IDXXysFsAeSyqVAi8I0CmLKh6Po60o0HUdcUr+UGi6ZySTQarPlIBBjMxatdqVHvI8j3i2HBFRH0bRpte5w5tLWBmkXqvh2rVrOLa4iH379kG//bbrOJ7hwG1o4Ee2W2d8chE9DhtpNDc35w/HXl1ZwcOHD5HOZDA1NYVCoUBqGP3uhefhAdhYX0c+nyd1BHY+Vk+kdYhesKhRi9r0eFqXFkwTiqKQhRYwzB7g91k6jkN66+hxREHwjx2GTdN1PNW0/C3TOL8r8HxkG0HQYAZbq0RRJPrRrRaazSbSqRQh+VGD6biuL3ogyTJGc7me5DwOnZFHGKzdxM9EeR48WvvjBQGmru+ojj9UhOlt68h6ros7d+6g1Wrh0qVLkCQJrXfd5DPzyQaS3x/seRw2bnBiYgInTpxAo9nE6uoq7j94AFVVifGcnMTExMRAFr/HcWRKS7WKM2fOgCkFsVIVE/1wHSdS6cfzPFhseELEc5OpaEmbzrq0bdsn8bB9lzHneWoseVrr9rCtBBZk+zPylyiKvtrXb4VPbjALhQIevu02AgA6NuKwYWEsOE1VCaHDcdBWFL/BVpIkIJHoLeDOzsHz8Pps7rVaDcVisaMOCZBIR6Ab9EdtmQ0YTCaifubMGRSnpwHPg/rTy8hfU/7+DJn/ddL//yChJww2HLs4NQXX8/yRRleuXAEvCJiensZ0sUiau3sYlq2tLRw4cIBcMtipyLl4UfT75aJgMuZyH6MlSxK4dNrPJsRkGbIsE0+Uqn6wWrR/X5IET1Vhuy7EENHAcRyINL2kqCox9rv4qOB5HslUCrVaDSMB8ggDWz+u43S8l4IgIJPNQmm30W63/X5MwzBIig6EBc3x/EBSmN8IH4F6o0HkEYO8AvpZWZKg0wb5oYfSDxOFUgPuOg5u3LgBy7Zx4eJFUoL4ZR2e0s0INl+XOxzgDhGFrhvmMDIy4g/HVjUNpbU1vHz1Cjdu3EA+n/dTt7Ee3IBarYZUMklGhtFr9kD2OJ6mqx3qVITBBNb7PTOe55FKpaBpGgzThEPHAQIkc2BT0YhEQGo0SKxk9xk0mAAZAFGv13EwJHrza+KTG8xisYh/1GrQNa1raCnzGHtFgDEqlMxaTlbX1rBnehqpVAqyJKFGRcH7IsB06/wxTT02m0ilUpHXIEsSFFXtnNDxgWBn2djYwN27d/H1uXOYoNPPjScbsN9Gt0No118j9cdD21EmXag9vWV6fzzHoVAooFAo4IsvvkAtIBKv67ovljBZKPjP0rFtVKpVfPXVV5HXLvA8rFAdyP+M68K17Y50bBSYQU2n00S+TNPQbLX8iQaJdLorShQFAR5N40hULB4g9VTP8yCIIsqVCvbOzg6/Ke5iaPA8j/FCAZWtLeyPSO8xJicXUWvkKUdBo4ay2WzCAzCWy/nvAE8zBP3QMxUJ0qaQSiYjiX5sYsqgUWThY4bb4aKYso5t4+rVq5BlGd+eP0/uwfOg/GcPAQ3b7XSA6f30I6yx+04mEpifn8eBuTkYuk5E4tfW8ODBA2TSaRSnpzE9Pd3RVrNBxxZ2HQ+AwHGR35d/qRFCEr2uLx6PQxBFaKqKarUK8DwEjkO8R2Aj8DzJDJED+M+BZYs4nketXvd7an8LfHKDKcsykpkMNstlzEYMjx6UImGNtLIkod5oQKci3KyvatAXCY4DF5ipxxaBB8DUdTie15O1ydIQtm1HztkMo1e9MvyzUqmE169e4cKFC9uFeM+D8sMvvQ8eWmQDBzFH1Zo4DrlcDrlcDseOHYOqKCiVSnj58iVuUZH4YrEIURQxks32vGeWxgkSN1hKPUqppSdoTYoRDwzTJO0omUzk5iHS6RWObQOBa/MF3gUB5XIZh4YYaryL98PMzAye37+PLyP+jaVi+8VliXgcVjIJz/PQarUwPj4OjudJe9gQhqyrVkodQ9d10Wy3e/aIAuT9GXYWbRQjOMpYG4aB+/fuITc6itOnTvmOtfFkA/ZK7/5BPeAA9yIChq+n41pA5AP37t2LvXv3wrFtlMtllEol/HT5MkRR9GX6Njc3u6RJ/ePQNiyH9oSGdXttyxo4YB4IZJ/onybdB3IjIz2zgJIkQTMMX4WMgWWLLJot2rMDnd4PxSc3mIIgoDA1hc3NzS6DyXrs+tUYHddFW1GQy+X86SLtdtv3QobNb7OFFayvtBUFmT71T9ZPaA1pMMOIqmG+evkSr16/xsULFzASqJ32iy4ZglGmBwx8iSMuqON6kqkU5hcWME9HGm1sbGCtVEJpbQ2SLOP5s2coFotdmxBPpwm4nucrY3C01mnQwdnD9Mx5jgNFUWA5DuKJBNLpNHRdh6oopGcvdH9CgO0IWosBHaDLItZ6o/GbeqS/N0xNTeHqP/9JxLOjsggD0phM3WVqchKNZhOqqsKiE4OyEWneLtCsSkdmimY72q0WCjRbEwVZFNGmE24GZox6pEeD96drGm7duoVCoYDTp05t/06/6JLCCzjAPq9hJ1msiLUxOTWFyakpnDp1CrVajYwCvH0bzVYLb9+9g+M4mIgYN8jTlGwHAZAGCq7nIT6M8+t5RI3JMADPw+joKCw6OYbj+UijKYoioGmkTkl/1pEt2trC3tnZ4Zzvj4RPznzgeR7FYhHvSqWOn/s06T5wXBftFmlgyo6MIDcyAibFpus6oaGr6lBq9lFSdW3K3OsHkQoTD4Oou/Ffa8/DL48f483btzhz5kyHtu7A6JKBLjKgP/mhF/p9Wo7FsHd2FufOnSNzAefn0W638ePly/ivH37Ao4cPUatWwZqPOaDrubuuC9dxBqa8bNqL1aSOTzIeRzqVgizLRA3GdaHSmaRB8JTt6NCFHEzhCIIAk9LWf0uP9PcGSZKQzmZRLpc7fs7ex36bvqppMA0DsXgc+XweCaoByxjRqqLA7KEC5MPz/NmLYbQGrOegAzwIUccPrp92u41//vOfKE5N4eiRIx0GbFB0yaBffw23oUUy5wddDxfxs+1/5DA6NoZji4tYXFzE+NgYRrJZPHv+HP/+7/+On69fx9s3b/xnLQYycOz3AZot4riBPZqGaaLZbkOnw59ZySyZTBLFL03zI84gREGAx3FwaNsKOK4jW1SpVDoE6n8LfBYRZj6fx81Wq0uaye8LjKg5BI1lOpMh9a5MBi3au5NKJmHRqeIaZc8m4vGuGgiTV+tQvqFotduRk7+DkGij/lDMy6gXmEZB9+7dQ6VaxTfnzm2P6KEYJrpkYFGmx0UX6fteyxAwdB2KomBhYQEcz+OU56FOvdVbt27BtCzSG5bLIT8+3lGrZJJnsixHpoRtKrRs2fZ224EgdDCpmbHVNC0y0hRFERatezAnyPM8iIKAt2/eYG5+/jf1SH9vEAQBxZkZvF5e9h0T5vz6G37Edx80lglaAoknk1ApQUs3TYDj0Gq3IfI8Eslkd4sCdZI4nocbEjFw6PSScK92EIztbvUQMAgiql7J7qlRr+PqtWs4cvgwaUkLGrohokv/o9QBjv9fJF26Ywd4iM9vbGygWCxi4eBBLBw8CNM0sV4qoVQq4d79+xgZGUFhYgLZkRHSKxtg/JqmuT0FitWn2Z7teb4QPvvuU8mkP8uSfTZJv2O/vzbgTIuiCM51YQecbJYt8jwPq2tr+F//+3/v6Jl8KD75zsHSpotffIHHjx7h4nffdbWRhKWVPM/rMpYAGS8Vj8fRomNqMuk0UQ75/9l70xi5ruxM8Hv7iz0i9ySTyS0zyaQoskiJLFGkRC0uwxj3wJhyuXt6/hRgT1WhMF7G/uGxje4fUzBQ0zYKNqZtwO5ud8EaQOUN0z1dQLtcVaqSRImbVFJJFMWdTG65L7G8eC/eeufHvfflixcvFlKLk6o8AEEyI/ItEe/cc+453/k+xjHKx050XQ/12IT1C2lx4lqt1pUFX1EUiAmCp0nWMpMF+uC99fbbsEwTzzzzTEhQHjXzlcsdj9tkXoD6a9dATm7vCBJI3O324GCLS0strEGlvr4wYzVqNczNzeHuzAzef/99DA0OYgsjS3AdByILgIgsbq7rwnYcmmUSQhGxjLbQZewuUYsGTcs0m2ZsBVEEiewQeC+bALh85Qp+7atf7XqPm/bwJkkSpqam8Narr2JldRX9LAFuerYYhRu3BhtujwZLgM5cm5YFo16HpigolUp0rs+y1gMnm+2L7qZ4Ahz9WZ0lV92ecSWisdvR2iS/ywzZfuDgQWzdsgWVajPJiHO1t90lt8bZW5Cf3QmInwxL1cLiIp76/OfD/6uqivHt2zHO5QYXFnB/dhZXr1+HqqrYwsSxuXqUwhPiSEJkOw5shv8QBQHpVIqOgIBVnaJcs7GgKQrCusyaIACRZJkQAi8IIEkSbty8iaHhYQwPD3/sn0kn+2cPmAB1st27d+Psj3+M5eVlOnwbeV0ApXDjPzPrdRBCkIsES245PorQaNB5PjZA67P5TKvRgGlZoexPVLstbtVaDROTkwmvNF87X/S7Bcw4Gtf3fZw9exYEwPHjxyGxcYwmZh3Hg3tntfNxY+ZcX4T07Hhn/c/YotWrLSYg6qKWzeUwmcth69gYaoYBo1bD/dlZvPvee8jn8xgZGcG2sTGk02nKF2lZtK8ZC5Tc4ixK3PiclmVZcJisF8Ay/4hDuq4LQRQxc/s2+vv6sD0BvblpH59JkkSD5t69uMQS4Chwj5dlQ6pItvNTFKUpWAKU9lJTFBjVKopMLYhr1NqOA8s0UanVKGqaIS1DcAmaqeoMw0C2jaJR1BRZhm3biUxDUUtKOOcXFnD+3DkcOXIEQ8PD6/PlkefZubbU9RqazuMFcO+uATuKHxsSn1vdMOB5Xig4HzdOEj80PIxdu3fDMk0sLS3hbTYeM9Dfj/HxcQwODkIABfLYth3yemdYoOTGP4X4Z8eDplGvU/L+bJYiovluNjJOwrEm165dw//0xS9+rJ9HL7ZhAqYfBJjetw8XP/wQz5w40bKYi6AfNC/ZpVKpxAc6nclAkiSYhgEpMmvH0bRcL7FhWdRRZRkqF0MVIuTGhKBuGKFyfCdTZRkNx2kuO8Us/prrujhz5gz0VAqHDh1aL+fGgqogixCyGkjVjh+yrYklWnbqipJ9UCMECwsLXZMIgGb4sixjfPt2bN+xA9VKBUtLS1hdXcWPf/xjqKqKgYEBDA4MoK+/H5qmNYMK+HGAtnp6qqKEO3KZ8U6KbJgZoFUKz/MgSRKuXbuGkydP9oS03LSHN+6TO3buxK0bN7C8vIy+/mbBLl7OJISgbprhgplkmUwGa+Vys5qIIFAxcpZgmqaJGpvf1HSd6q3KclOSZfTQXgHoLC9YWfZBBuLv3r2L999/H08//fQ6M1hC71Hq634NcRMKekewSbteZTdSlsXFRQwNDnbddXNxg0KxiOGREUxPT2NxcZHS9F26BOP8efT19aF/YABDg4PIZrMh3WCvrR+B7UTr9ToajJSf3xu/B05FentmBgP9/XQ2/VO2f3bQD7AO5962bRsaloXFxcWW9wgMqWVZFmRZbqsSIggC0pkMHM9bl5khpIm5IpvNosjo8gIm97VaLsMwjFBqymo0ICtKT/0uznnaEZIe7UnaNk6dOoVCoYAjTz7ZIg3U9ACLIvK/8gQEtTfnlYopZH6Bjk183CWc1dVVyEyiq5uJTBGEMJSq67ooFIuYnJrCsePHw2b9hYsX8eNXX8V777+PxcVFmpVHr7vLPei6DghCSJWI2O4SAO7cuYNBxrG7aZ+s8SBDAOzduxcXPvigLUCGC31nO5RKs7kcBFFEvV6nP+B9adBnTNM0lEol5HM5qIy/tFKtYq1cht1ohMCzCuOr7Xr9oghZkrqDiyJ28+ZNfPDBB3jmmWfQH0kOksZB9CfHoe5pX6GJW/r5KYgDmY99dwkA92dnW3h1k0xguz2+Y7aYPvFWJlH2+aeewsDAAJaXlnDq1CmcPXcON27ehFmv03ZaxDoFcImJVLueF1LjRXuirucBgoDrN25g3759bYkYPknbEDtMVVVhsIC4d+9evH/hAp4fGGjK8DhSrlM2yi2dSkESBNRqNWiqmogYlSQJKabpxncpNoM5i6KIWq3WkVIvalwtvuPQM3tQ6qaJN994A9u2bcPevXvBqajCt6F1Z6hNj2Dg//xFeHNVwI8AoN76EUr/28nwv4ImQx7Jww18wDBaHtaParP372PL6GhPvU4OvKgzysJGo4FMJkNJ0hUFxXwe28bGcBC0Vzw7O4sPP/wQNcPACJM0Gh4Z6TqoznskddOEzSDq/Opc14Xjurhx/TqeefbZrmQJm/bRTRRFKIoCx/Mwvm0bLl++jPv372NsbKzpfY7rwnGccJi9nUmiiJSuw7Is+J7X9nlQFAWKoiDNwChcyi8wTaiyjGq1im2xa2hnmqrCYAlYOyAf3/lcuXoVt2dm8OzJk5QUgb5I38PfHK0YqTKKXzkBf8VAUF3naA0IafFneSgLIaPR3XMnn3uIHaZj21hZWcHRo0fbHzd2LK4uU61WIUtSqC6Tz+Uw0N+PyclJSru5uIi52VlcunQp5LMeGRlBsVhMxHFETdM0eEy9SGZVAq6GQgjBzZs3MTw8jFw+3xWY9UnYhgmYgkB118bGxnD//n28++67eOKJJ5oayYHvU67BLoFAFKnieq1eR7FQ6Mr2I8tyKPvFQQVr5TJESUK5UoHCBIkVRWn74CqKAqdDWZYAqFarOH36NCYmJjAxMRG+Fn+wk84gKDKU8RgJ/FuAsjNBn95jROMdysNJxpGlifdICO7NznZ0sCAI4HkePJYhmqYJicmoZbLZRLo0gII79uzZgz179lBJo/l53LlzB++8+y6KrAw0OjISShrFTZZlaKoKx3HCAWvXdeF5Ht7/6U8xOTmJQj7/QNqlm/bwpmka6pUKBFXFkSNH8OYbb6CQzzf1yizLgihJXaXcfEaBaDsOypVKE4o+yURRDIF9vu/Dsm3YloVypQLX91GrVqGwcm676pHC2jOu67Z9ZgiACxcuYHFpCSdPngzvo8lzOhAOSP1ZSP3Z5ve28+cggNAmUYjOjSe91s7m5uYwODjY9jPgQYr/qZsmLNtGilAavEKhkDhOIssytm7Zgq1btoAAWFlexuzcHM6cPQuAUqGOjo6if2Cg7fqUSqVgGAasRiNs07iui8XFRczNzeGF55+n4MCf1R0mz0o924Yqy3jiiSfw41dfxcytW9i5axdAqAYeD1zdzA+CcMSkXK2GSL1uxkEFiqJAEkXks9mwPNOw7XDgngfP6MOmMiAC19yM29raGk6/+Sb279+P8fHx5vNiPRv9OKSneA/vYUqy7X6jUqkAhDTNhxIG+fZYyZUEAQJ2XkVR6O5BkhAQStnVi+m6jp07dmDnjh1wPQ/z8/O4e/cuPrx4kWaro6MhtVf0c9J0HQ5TOBEIge26uHLlCtLpNCYmJ0GAhyKX2LQHN03TYLCAUywWsX//fpw+cwYvvPBCKONGCOmpp0iYTFxa11Gt11HI57vTXTKTJAmZdBq6qiLwfUrmzmZxBVB/VxQlXFd4Ii5JEiVjbxMwCSF45yc/Qc0w8OwzzzTvdPj8b2zI/6NYQAjkNsdIHG8JT9t+h8lpRKPmM1/mfwjo5y/JMnQGxpMkiX5evQi9A6Hc4IHHH0e5UsG9+/dx4YMPYJlmKI4dlxsUBQG6qsKybTq7HQQo1+u4cuUKjh07Rv2YrdWftm2IHiZAncyN0Nkde+opXPzwQ6ysrMBhc456hJy3k3muC13TkEmnUatWOxKBJ5kgCHBcF5lMJux3FvJ5iuJj/c1qrYbVtTXUWCZEgiBkGorb0tIS3jx9GocOHWoJluyE6/9+yPnIqEVFZNu8oe3vtvt87927h5GREXiuS2H9tRoq1SotuToOZevQdeSyWeTy+XBOznEcCOiRCi9miixjbGwMR48exf/wi7+I/fv3w3EcnD59Gj/4wQ/w/oULWFpaokwgggBVUeAz5ffbMzOoVqs4zKoUPsRRsgAAIABJREFUQoKDfetb34IgCPjWt76VeP4rV65A0zQ8++yzD3ztP8sWVozYPOyOHTvorPVbbwFBEIK0ell0fSYFVyyVIBKCtUrlga6FozdVWUY2k0GhUECpUKAi9Aw0ZJgmypUKKpUKTNNEw7YhCQKV+4rNgAdBgPPnz6PRaODE8eOtZcFoi6XDDrNXC0Ev7apqDxGMPdfFEhsPs20bpmmiWq3StYyVXRVFQTqVQoHNX+qMmN3z/QcuhfLVplgoYHrvXrzw/PN4/oUX0NfXh5mZGfz3f/xHnD5zBrdu3QqlxGRVpW0uVp69cOECHtu3D8ViEaIgtGjlflq+vCF2mAB1sjoozFySZWSzWRw+fBhnz57FkSNHoGsazSw6lCAA+kD7LCsqFouos3LM4AMAPgRBgG1ZKDEeV4HNBsmyHDLN8F0V/0MIQcOyYBgGSuweZFnG4uIifvree3jq6NEmQEDT+SIBjDBINvtPZ4eI8cVGhW9FoQ3xOumgfEBvlgJ1fD/84/k+7t6/j7179lCyeULlzVRGfi8zqbOWyyMELiujP6zxMrEUkTR6/PHHUa1WMTs7S7PVej3UAxSYgsHMzAyOHz9Oh5/5nG5sl3vixAkAwFlWLorbb/zGb8D3ffzZn/3ZQ1//z6LxnZsXmSc+ePAgXn/tNVy8dAlbmEACBKEjIw0B1bWFICCl66GocCGffyDyfNdxmvrXHCzEEyi+o+JUbQQ0UNc50xRD5BNC8Pbbb0PTNDx17FhbtZ0oCrhXC4D1WcaIf3KflnggfoBjco/0fR8+Y9nyfR/37t9HoVCA7boAS2glWYbK1qykPrEoinAdBwpTDXoQE0UxTDz4mpSJyA26rouFhQXMzc3h4sWLyGWzGBkdRV9/PwLXxZWbN9Hf14dxNhJGgBY8wqflyxsqYBJJooKhigIQgtGREayMj+Pdd9/F8ePH6Rs7OFnA0bAsYMiKglw2i0q1ikIHkt8kczqwfYiiCDXy4BBCicZlRUGV7Whd38fczAxu3LiBgwcPQlEUGAy0JDFCY66+EA01AUB5E/n9dXKQhJILIaQtYX2UaYU7EP/M+N+2665rWTLHbZgmPNfFEOOZlNoEyLjxMu2DOlhLT5fP1jGkniBQSaNCoYDp6elQ0ujWrVtYXVtDAGBqcjLkHhXYPcd7qIcPH0YqlcK5c+daruHv//7v8YMf/AC/+Zu/iQMHDjzQ9W8aTU4s0wznpyVRxFPHjuGHP/whVEUJNWY7lRQDNnfHmWSKhQKMeh1r5XJHTti42bYNtUO/iyfDvA/psV2t73khwtswDLz3058il89jcnISZr1OfTfqz8yn+f0E0eS0W6DjZdyY33OaPx5ImxJqQQg/I15ZAfP/gP3Ny9/0kJS2cnFhASOjo2Ei0AsC12NBN/0QlaL4Lj0+W60oCsbGxjA2NkblBpeWMDs7i7feegue60JUFDzFsBOckzpOcfhp+fKGCZgC22a7pgmd7SIFADu2b0etVsPp06dx4sQJKj6KVieLc8HyL6XAdPbW1tYw3GHgPm52o9FzjZzvQHOZTEhgcO/ePdy+fRvHn34aqVSKBlFG+dbkFFEEnSDArNfDAMP7LFEkLf8ZN5eVgKPNf6vRCGH7nC4sAHM+3w/nGuMclSKoxpzMejgyY+Xh6NgHQZn6ngfCKK0etCfbkgxFFgshkq1y45JGfX19ePP0aaRSKQyy75onV9lMpmUGU1EUHDlyBK+//jpmZ2exhfV06vU6fud3fgdDQ0P4xje+8UDXvmnUVFVFXaA8oLz0qioKDh48iPfffx+SJGHX7t2JCTABmsaL+NMjyTLyuRzWKpX25O4J5tg2Mj320AHKYQpJQj6fh2VZUBQF58+fx8joKCYnJuD6PgWV+T69zqgfR8qnHkMCcxARmC/zBC76N797lwW48P+MDEBio3f8NZ7s+uz8UY8R2XH5LDT3Y0mSEPg+VlZW8MQTTzzQTPJDt1ZiyYIQW+/iyb0oihgaGsLg4CD8IMDC4iJGR0fDigJ/bzGGS/m0fHnDBEwAUHUddcNogh57vo/9+/fj7t27ePW113Di+HEK+Ig9JNzB4o12iSm6r1UqITVeL2bbdgvzSDcTmcDtpUuXsLK8jOdOnqTITkKgROi7+C6QZ48++7fPslpPFNd7ofw+E8qohBAYfD4tYpZlhRysPNjyLF9QVchY17nj7+EPIndAHmQJIZidncXjD5iZNRoNQOhNlaSrRQNoQrZKCMHi4iLOnz+Pnbt2gUTOy1F2+SiZfcSOHz+O119/HWfPnsUXGXPIN77xDdy7dw/f/va3m0nwN61ni1aMeMD0fB+5XA7PnDiBM2fOwGo08Ni+fa0JcIfdWKFQgFGrYa1cxkiPtGg2KyU+zD2srq7izNmzmNi1C5NTUwAhUHmgAloCGGEtId/z4LDWjeM4TfOESb7ss9816vX19Y8QOBFiDo/taAXQtUZiAZH7MN/hRneMvI9MACAIMLewgGKx+ODJbxA8uIYs883oncaTYTFO7M6qdefPn4fjONi+fTtSmUyIU+CjPkl++Wn48oYKmLquwxAESnWmqqGUi6IomJ6ehq7reO2113D86adRKpXCDz+ajSa5Wr5QQM0wsLq2hi09DOoGQdARUt7p965euYKV5WU8dfw4bZQnOD/nz40ziQRBQAFLDBYfWmT3HM0+CbDORMSzVxYgNE1LRKYmqbI0XRvWUbYCgKphwG40MNDf372nyoyXsjRNWy/v9mjd5rQgCBCxzjVMCMEdxrLyxJNPwnUc2J63vuiyDDfPdUVjxkv9586dwxe/+EVcvnwZf/Inf4Jjx47hy1/+8gNd+6atG1cNcmq1MPH0PA8CgFyhgOeeew5vnj4N27apTiQQamVGRRBaFlgmNL1WLvecAPPktxvzTdwMw8A7P/kJdu3eTZHW3AdjuyQBgBjdeRFCF3hJgsywFE2W4M98Dctls6Ev82tXFQX5fD5xnC6IJZAtFt1YCALu3ruHsbGxjqXwuHEgjqooD/T5hf3Y+M+il8dlw1jZ2bZtnD5zBul0Go/v2YPl1VVoskxVjiIjakk73U/DlzcMShag22pJ08KMLCrlAgA7d+7EoUOH8Mabb2JhcXFdkSLhWPFtfqFQCGcDu5njOE2ZWyfj5/d8H+fOn4dhGDj0xBOtJOvdTsozzyRjWaMgihBZoOWfiSTL9A8nNQcNOA86gxmeKvb/O7dvY3x8PAzGvTwwnDxe0zTaZ+nm1OHJheQZ1Nj/CRDunK9du4YPPvgAJ44fRyaTockCI6sIy7iC0LpoMXv66achCEIIFvj1X/91+L6PP//zP3/gUvKmNVsml0MAhHJZ4cgVoTN0zzzzDAzDwNmzZ2lyjOQAEP8W8vk8FFnGympvHMuNRmN9R9Xl+SessrLIWGsee+wxjIyMNNMzdgsaPOA9iD+zABD15WiA7KqE1O5+Iv+2HQeLCwshiYTY7ToRSX5Vtas2ccu5E77LFhmySD+2bpp47bXX0Fcq4cDjj4eqMZIsw+M8skCTTnDUPg1f3lABE6BOxhvtPisnRHdiW7ZswVNPPYXz58/j2rVrLZqL7b7QfC4HVVGwsrradQFv6Y8kHJNnwgEhIS+s7/s4fuIE0uk0Bbw0X1iXO/94jN/bwz4g0ew5IAR37tzB+I4d66+D9VHBgnLsvgLW31FVNUQRxmXT2p67wwITN9d18ZOf/AS3bt3CyWefhZ5KhYTZvDfDy2btMlIAKJVKmJ6exttvv42XX34Zr7zyCr72ta/h0KFDPV3zprU3TdMgKAqlqGPAlOgMpaIoePrppyFJEl5//XVUq9WWYxCg5fsXRRGFfB4eA+N0M9u2oTOu4k4AF94TnJudDdH523fsAAQBblRBqAffCndwH3GhDnoRs+5yHdzu3L6NkUg/MJRDa5OoAuvJr6qqENlMdW8nTj5iu3VpcXERr736KraPj2P//v2w2aaJ79Kja3a7gPlp+PKGC5jpTAaQJEoC4Hk0E4t9yAMDA3juuedw9/59vH7q1DrPZMRavhZBQF+phIAQlLvMckUDZouTsSDJ+4+u6+LNN96Aqqp46vOfhyRJFLRDkmcy21pC//VhjAedh81IoyMuC/PzyDCZtHbnijtbI+JgIU1dL07WwWnjv720tIRXXnkFhBA899xzSKVSsBsNSEzPUGG9Hk7Y3c7BuJ04cQKmaeJrX/saBgYG8Id/+Ifdr3fTupogCEhns+HYBtgC2ERGLkl48sgRjI2N4dVXX8WNGzdan5cEf8jlctA0Dcurq/C7CD63AwiF5VAWKAkhuHfvHt75yU9w7NgxDA0NhcCZJsmvXoPGx5Akc2RrkvVcuWHHuX37dke1HiHyB2hOfqPc0F2tF1QwM8/z8NP33sPbb7+Nzx06hImpKcrqFgRhkquwUjD/LIpt2ivAJ+/LGy5gCoIAnaFNA/YBJY2RZDIZPPPMM9iydSt+9MoruMkdrcMXlUqnkU2lUK1WWzQno+Y4TqI4bUAIbc6zc9iNBk69/jqKxSKl8WMPtsLKKk0Bs5esNIYKfBjjTvTQxOuR35uZmaEZdg8mgpZgXNZ/jhMndz1nl74qQEt67733Hs6fP48DBw7g8OHDkJl+YUAINEVBwPTyootyHFEXN977MAwD3/zmN7vSr21a75bK5QDWmwKQ6AeCIGDX7t147uRJ3L19G6dOnaLE3ehcdejv74coCFjuUpq1I/7MS/m89MoTXwC4eeMGLjJJsugzoGsaOFUc0HvvD/hovgx2fYm+3AWLEJ6f/W65XIbneRjscRxHRPPukh+rp3vvcF3RV5aXl/GDH/4QjuPg5158ESMjI1SYmoGc+LXLrHcJ0ESp02bgk/blDRcwAeZkbPcGJJc2uOba5MQEnn/+ecxwR+vSo+zr74ciy1hcWmqfoUWyOj4GQtDsvKZp4rXXX8eWrVvx+IEDLbtgVdNo/T+imNKrfRQnCweEEx6qB3H0hm1jaXkZW7du7e28ACwm1aRFwU7dgBY9AjFWVlbwwx/+EA3bxosvvkiFvVmg5bSJfDGMOpgkSV3RcTt37gQAHDlyBL/2a7/W0/1uWm8myzJUXQ+TRxFoLeMzhGgul8Nzzz+P4eFhvPLKK5i5ebOFnCNqqqqiwEY/ktDi4fF9f92fsZ788usghODK5cu4fv06nn3mmXB+lxsfjWpEkOu9WO/7v/ZG2t2/0IaYJP777O+ZmRlsewAtWNfz4HoeNF0PiQx6qhZ1uSYB64nvuXPncODAATz55JMhipknv7quh99b9IiFDrtL4JP35Q0ZMFVdh6xp4YxhPMMihDSVBnK5HJ5//nkMDQ/j1Vdfxf3799seWxRFWpoNAsqPmmBRBCZ/PKLMOdVqFa+//jomdu9eVxyJmcb4DvlC8el0MCM8skkB8wFKOLdv38aWLVt6nrtyPQ+e79O+FQMz9BT4Y7DzuHmeh/cvXMDZs2exb98+HDlypAkS32g0QLiDBUEIuQeocw6wslon++M//mOIorgJ9PmETMvnw/YFR8LGLayuCAKmpqZw8uRJ3Lx1C2+/8w4sy2p77GKhAF3TsNKhNBtF05PYM0IIwYX338f9+/dx8uRJ2hJKuDZVVeGxqldPzwhrMXyU54mvPw/bXgHWA9T9+/exo8eASbA+y61zXxPFrglANwARQHeVP3zlFViNBl78uZ9rkhcLfJ+yMilKqJEcBRqJgoDhLlMOn7Qvb8iACQB6NhsCaoDm3lqIkoyYKAjYMzWF48ePY252Fq/86Ee4d+9e4heYzmSQSadRaVOaDXwfJGHnIwBYW13FG6dOYd++fXTwuo3xmUwOeOjlqwsD2kf4otuBBB4kYBNCcKdLvyN+7IZlQRTW+Vp5VaDjQ9vhNc/3ceXqVXzvn/4JZr2OF154oUUiyvU8SpDNAAlcLy9K7TXaZYf88ssv47vf/S6+/vWv48iRI91uddMewlJM1J0nj0mjBVETBAH5fB4nT55EqVjEmTNn8O677yYHTlaaFQAsr60lnt9PSBR5QvzOO++gXC7jmWef7ah+obEdkOu6GwLA1zNaVRAwOzuLQrHYVu0nbi5ThuJas9xP462OB7mmtXIZb5w+jXPnzmHf9DSOHj3axLxGCIFpWYhyPnuuS6tF7D2lgYGOo36fhi9vqDnMqOlMjSLa+4hypbazfD6Pw088gbpp4urVq7h0+TL279tHM5nIl91XKsFmZccto6NhFhcQEg77xm1xaQnnz53DocOHexJe5WKonuf1liV+DD3MdiCBB5m7Wl1bQ0BIW+7buDlMVSCdTjd9xqFzMWqz+EITH2oGaDZ8a2YGV65cQamvDydOnEAmmw3LaGFfNAjQME0q55ROU5AVU5RRZBkNALl8PlE0+M6dO3j55Zdx48YNvPTSS3jsscfwR3/0Rz1+Opv2oCYIAjSmHuR5HlRFgUcI7Xu38WVBoOQTu3fvxujoKObm5/HDH/wA49u3Y++ePU3BTVVVFBg5Sd00kWF6uYSPqvh+SxLpseF43/PwNOMc7mSyLEMSxZBEoMcb/2h4BL6z+ojkHzMPkvwSArvRgChJiWQPhIEgW6pVbXaX5UoFH374IdZWVzG1Zw8+f/RoiLSPIvJt24bPeHtFSaLE98A6ww+ALQnJ76ftyxs2YEqSBD2Xg7G62tS0B9A2wxOEdW7WwYEBbN2yBfMLC/jw4kVcvnwZ0/v2UXYQQYAkyyiVSlhaXkalWkWpWKS9FDbvEy8Dc43Op44d67mRrCgKBOZkvWR3HxcMPU6I8EAmCBTsk6SqkmCEEKruEBnnSHhTSAPWRF8YeYsfBLh9+zYuX76MQj6PY8eOhbOTHGEZzW4ty0JACLLpdJgMcAFvvqNIcjAA+N73voff//3fR7FYxC/90i/hT//0T7uKkm/aR7NsqYTl2VkYhoGUrkMkyfPTUeOVJFlRsH//fkxOTODK1av4/ve/jx07d2LP1FRYni8Wi7AsC8srK9BjIxC8VM/NdV2cOXsWmqbh80eP9uxzmqbBNE34kZ5oR4sQqjyM8aAUP1Mnvui41et1lMtlHDt2rKdzNmwbASHIJOy2o2fjvM6Ri2p6b7VWw6VLl7C0uIiJyUkcOXIkXJe4Zi03n7EZqYoSMqJxbWFVUeB5HjLZbCI69tP25Q0bMAGg0N+PermMWq2Gvr6+UJ+NkPZ9BFEQQESROosgYGRkBCPDw5idncX777+PS4qCfdPTGB4eRiaTQb1eR6VSQUrXaTbDF/WIQ9yamcGHH36I4ydOoFQsroMGupggUF23umVB66DeHhoLLB+l9h60obDqtYTTaDQwe/8+vvCFL/T0fsuyAEISE4KmnkakRxVF+Hm+j3t37+Iy0648evRo14TEsW24ngdd08K5Ps/z4AUBsqoKnw08j8T0/rh99atfxVe/+tWe7m/TPh5TFAXpfB52vY6GbdNyH1v42xmfw+Pv0XQdBw4cwOTkJC5fvox/+v73sXvXLuzevRuarqOvrw/zCwtYXl2lzFTMCNZ3aY1GA6dPn0apVMLBgwchCELPs4WaqsJqNB4sAf4I5dsQ8R5LgAWhN8APAFy/dg07tm/vKcD7vg/XtqEwsoAkCxmKgMSdZqVaxdWrVzE/P4+JiQkcOnSoaUcexBIlEgQwLSsU/ub357guBKaT3LDttq2VT9uXN3TA1NNpKLpO6c4aDYq+7PKwcPWApi9SELBl61aMjo7i/uwsLl68iHfffRfj27djbGwMjUYDC0tLGB0eDh2U7zCvXbtG0XPPPttEQwegJ2fQNA2WZaFh2z2LKD+sdRop6bWPevPmTWwZG+uJa9JjSDpV0zqWjeK7yoAQrDEJrrv37qFUKuHw4cMYSJBg4zvT8D6YPp4sSWFZjhBCSauBMCMdGh19KA3OTfvkLFMswjZNNBiheVR9pp3xOWwS6c2nUikcOnQIe6amcPnqVXz/Bz/AwMAAduzYgWw2i0qlgpqqIscULQjzZ9M08eabb2LLli3Yt29feF5R6I2NShBFaDwB1vXuo1uCAOEjVHv4zril59tjEHYdB7fv3MELL77Y0/t5j1hv5/uC0IQlAehO03Ec3L13DzO3bsE0TezYuRM///M/35K4E0Jafr/RaCAIAmQymfD7JaAlWkVRKBmJLGO0TfL7aduGXlEEQYCez8NaWUHDtiEzJ+v2uEht5oUEUQxlZCqVCm7evIkf/+hHyOXzKBQKEAUBW0ZHwVUxLl68iNnZWYqei2zzBdAySS+YU1EUoWoaTMuC3ouT4eERtZ1GSnoJlr7v49bNmzjGpdQ6nQsJSLqWkzaf1bVt3Ll7FzMzM7BdF9vGxvDi888j1aGE0pSNEoI6AwZEvw9RECgzCBCCS8a2bet6D5v26Voqk4GiqvBY0pNOp5vksJKMo9N53ytq6UwGhw8dwsHHH8e9+/dx+dIlVGs1DA4Owmw0sENRQvS0Ua/jzOnTmJiYwOTkZNNxHqSeo+s66pYFu9HoGUTzsEaCIDng9oBGBYCbMzMYGR3tSUTCZSNwuq73xCxECMHa2hpu3bqF+/fvo7+/H1N79mBkeLjt78d3867jUNAe09Xlx+UE9jqbq+7r69swLZMNHTAB6mSuYSAIAjQsCxm+y2Ml10RjD1SYOSa8r5DP4+DBg3hs/37Mzc7i2vXruHnrFkZHR6HrOpaWliAKAp599tlEZJbAsq1egpvOdpkOL0V1sYctyXYaKenF7ty5g75SqS2zT9Q40CfFkXTtTBCwsrKC+/fuYX5hAcPDw9i/f38ov9UuW04CeDVsG4HvI51Otzilw0pJhFCi9SSwz6b985qqqpBTKZBGIyQHEUWx4+LfJKbexiRZxvbxcYyNjaFWq+HWrVu4evkyZmZmMDUxgSAI8OYbb2DfY49hZxsiDlEUKRVnF98TRREqI8vQGaH7J2V81jxuvYyHkSDAjevXcfSpp7q/l5AQ5d5Nu9ZxHFy9ehW3bt0CAGzfvh1f+MIXoGta27UWQOjL/FsMfB9WowFJkprWV1EQYDI0ta6qsF0Xo1u3fqTRmo/TNnzA1HUdNVWFyPhlbUaMDl6mSfiCJEkKZziFNoTBfHBZFkVsGxvDtrExWla4cwfXr14FAbB7YgLlSgX9/f2JMlW9qh9IkhSOmGiM07KjdXs9OmIT6ee2g6H3EtQJIbh27Ro+97nPdX1vEARUo08UE5F0nuNgcXER8wsLmJudhSjL2LljBw4ePNjikEIcPABWQmMK99xc14Vj21BVtaXU47EZ0EwqBdfzsH3LlgcWrd60T94EQYDCtGERBDBNcz2xaZcAc/Q6o0oL+HujRii1nQDKGX3wwAFMTU3hytWruH7zJjzPQ6FQoP0y00zcrfDZzF78WdN12LZNVZU6tS56bINEe/pxf34Qzcqo3bt3D9lcDsVCoWu5mZdF05lM63dACCqVCubn5zE3P4+1tTWMDA/jicOH0cfGebiJTG8zfgw+whO9V5OVf9OpVFNpnDAiEn6MYrG4oST2NnzAVBQFejYLu1yGADrvl81kgA5KIgIH/QCJ6MxQky5mW7dupSolghAqlly4cAFGrYbBoSGMjIxgeGgodHJBEHruf2iaBsd1Q27GdhYQAs91qVgs09jjA9fhYhG57yonX2BlSddxmtQOuHCt3EVZfWFhAbIkYWBgIORgTTICoG6aIMD6wsOcam5+Hovz8yhXKugrlTA0PIyDn/scisVi24Ul6bOLBktBoCLElmlS5HSkb8mzb+5gsiiir78fAwMDGyYj3bRmy+fzWDZNSL4Pz/PQiPK8JgRNkY1mhNUTxFohHDEaO09K17F71y4UCgW8Valgx44dWFpawgcffABN10MwYP/AQJN2Kj1k56CpMlHmbiLWBLTN4TBuVK6ZyZmN4uAXgnV/JgCMep0en/VvuU9z7ct26x8hBNeuX8f09HTH+wDYLLPjQI2URd1Iwjs/Pw9JkjAyNISdO3ZgenqagvKSPiM20hYHUZHYvy2GNE6n000sQhxn0WCI2QDA2PbtyCSQSfxz2YYPmACQzWbRME3IngfbcWCy/ke7Wr4A6lRJfQ+gfUlDFAQMDgxgbm4OZqOBPVNT2Dc9DcdxsLCwgAU2oqJqGkaGhzE8PIxSXx8tBXYJmoqqQpIkKjXEAmZASEhM7XkeXMeBwR4m/vDyvpwoy5CFdc1LPuOl63qIxvM9D4Ttvj3fByLUgiRyLK4AEB1EvnrtGiYmJ7vubu1Gg861CXQgmjuVLMsYHhzE1NQUBgYHKXiKkPWA3sZ4QOflsPiu3fM81E0Tgigik06H1xvtU1tMr09SFIxs2bKhHGzTmk1VVWiZDNxaDbIswzJNKLIcLpxxBDx/1qN+HpKAd6nw5LJZuK4LWZKQzmZxZOdOKr5QLmNhYQEfXLyIWrWKwaEhDA8PY2hwMJSI61YF0nUdRr0Ox3XDAXyfJQGe58H3fdQMI9xR8fuSQLUzRUkKR6X4mUJ/JlREWZEkKMyPgghhAl/bJJYIS7JMqSFZkri8vAzP8zAyPNwsSxYzQggapgkQAqtex8ytW1hYWEClUkFfXx9GRkYwNTkZbhBMBl7s1j/lY15J0wymZcH1vPWpBH4t7PdsRpqgKgqGhocptmQDJb+PRMBUVRV6Og3HMCi0u15vrn3HMlOJzWL6nkdJfLHecO62G5RlGaViEUtLS1haXsbI8DBUVcW2bduwbds2kIjDXb58GeVyGaqmoVgooFgshn+SWEN0XUfNMEJHipI5y6IIWZKgqyqymcx6f6eLRXuinu9D1bSmHmQQBPB8H77vw2elS49lvYTdr2kYMGq1tryxJpvlWlldxerqKqq1GkAISqUShoeHsWdycr23HDESBL1RibHMND5fFgQBDMOAANBgGfk8uMu6nocGK3WPjo21FdrdtI1juVwOy5YFhRC4nodarYZCPr9eNYoFR1kUQ18B6MLKq0jd0N/FYhFI5rHbAAAgAElEQVSaqmJ1dRWFXA66rqOvVEJfqYTpvXtpMry4iIWFBVy9dg22ZaHAyoClUgnFYhH5XK6lOqOqKkTLgmEY0Fn1iERaIpIkUYo3UaS/3wXdz3dl3J9dVmXKZLNQIoCY0JeZH3POVxMsgMoyrl65gomJicQNhe95KFcqKJfLWF5eRqVcRp2VxgcGBrBnzx4MDAwkz3InoFwTTRBAfL+lrWI1GlScQdOa9EmFSB+7Xq9THEKxiEE2+reR7JEImAB1siXThCpJUDQNdcOAJIq0xh/rZ/Ig6bGd2v/17/4dPrhwAb/xm7+Jw4cPhw5GAPzlf/gPOHXqFP7Hf/Ev8D//q38FgOoncrj06toa+iIDs4IgoFQqoVQqYe/evQgIQd0wsFYuY3V1FVeuXkW5XA6JEYqFAvL5PL0mUUTdMCCIInKZTIgO48z8nufBJ4SWhSXpgWe4giBo6bUKogiZORLYQ8qDKC/9Xr12DVvHxlCuVOB5HgzDQLlcDv9wAvN0KoWtY2N4YngYqUjvIcl4g7/XuVLe54gy+dTrdQSgwTI6thJm5IJA9RAFAf0DAyiVShvOwTat1aIJcDqdhlGroWYYdAwkCZOgKHAY4xf35d/6rd/CoUOHuvqyKAjQUykIoExdoyMjTTsbVVVDDAMAOK6LcrmMtbU1LMzP48rlyzBNE7lCAX0sGdbTaUhsfWhwGjlNg6xpLbtlCMJD+zK//tBYII4HM76zdV0Xa2trWCuXsWd6Gqurq7AaDVRYgCyvrdF7yeeRz2aRyWaxfXwc/e0CZJtr6sWkmIal4ziUnEBVm5L8sG/MWi+mZUHVNGzZuhWZTGbDJb+PTMBUFAWpTAYNw4Cu6zB9P8xMxYgUDEC/BImh3gDgf/nX/xr/5uJF/N3f/i0OHz4cLuQvv/wyTp06heefey50MH4uQgiy2SxqhkE12No0nkVBQC6XQy6XC3eghBCYponV1VUsLy9jdn4ehmGg0WiEfKuZTAaZTAbpdBqpVArpdBqKooSC2Lys0atxOLYYlyVjr/m+D9M0YVkW/ds0Q2daW1vD4uIibs/MQFXVcMc8sXs3Sn19lOHEsuA6DtLpdE/zjaIgwGN9mZ5ATgzow/u1ddOkQIRUKhyiDmn/uIP5PizLgixJ2LJtG7Is0dm0jW+5XA7Ltg3f86CnUuFzGbZaIohLXt4PgiD05b/9u7/D5w4dCnek7XwZoIQD2UwGgiBgfnERI8PD4a4tbqqiYGhwEIODg+vkGp4X7sjuz82hUqnAajRCHmNN05DP55FOpZBOpZBiPh0EAdWFxYOPiiUh3qOlzkajEfqwaZqhTy8uLyPwfZx6/XXqy6qKdDqNvv5+TE5OIpfL0f4o23D0lGCy76OTNic3AjbXynEiggDXcUJEbDRYRtsvhBCKjSAEg0NDyOZyGzL5fWQCJgAUCgWaqVgWzUzrdZqZshnKaBYnyTI81sMbHx/H08eP47XXXsMbp07hmWefxf/3X/8r/vs//iOeOnoUv/qrv9p0HlmW4bou+kolkCBApVqFwM7fi/msuZ9hWdyELENi5RnHcbC0tATLtiGANsArlQoaloW6acKybYDR24mSBEkUaVbJdqISK91KTMLq7LlzYYnGdhwgCBCwOSbeS/E8j5Z7WWBOMcfuK5VQqVQwOTmJ6b17IbH7Nk0TrudR0AJDxHLauV6CJe8xRYE7Hd9LKLNSmGxYFnwWLIVIth4NloQQWJYFz/Mwtn07chvUwTYt2RRFQS6XQ7VchsrGGSxGSKFq2no5kfXpABq4xsfHcfz4cfw46sv/7b+19WUAIZJ7cHCQll8XF0OSknbGwYIB8yNJlkPgn6woNKlmikdrlQoQBHBcF5VqFXMLC7BME6ZlUfAgU++RRJH6McckRPAEvMJy5uxZ+ExX1vU8CCzZ9X0fjueFiiyapiGVSoW+nE6noaoqlldW8PyLLyKdToeBtdFowCeUu9f1PDiNRlt2rqTPIRrUOllACCWNAfN5UYTjujDZ9xriLfjnG/FlgIIJJUnC2Pg4SqXShkx+H6mAKYoi+vr6sLSwAKvRQDqVQt00UTcMun2P9TEbjI9QEAT88i//Mk6fPo3/97/8FzRsG3//D/+AA48/jq9//ests06qqsJ1XYiiiP7+fgoUqFYhsH5EOyNBgLplodFoAGwnqasqENntqpqGgcFBWCybjjL2e56HGitTiYIA1/cRsF4F70H6vg8/CCjJAJsb5QuK7TjIZrPQVJU6oSRBEihvblLIWlldRaPRwPT0dLh4yLKMdCaDwPdh2zZsx8FavQ5VUXqabRQQAVV1K0OxTDQaUBuWBc/3kdZ1yIwXNilYAqC9YEnCjp07USqVPtGZuE37+C2bzcJxHJjlMtKqSnvWpokcG8PiQZOjvrkPfelLX8KbEV/+hw6+DNBdo+O60HUdg4ODWFpextzCQteg6ToOjHodPktgM5lMyFVMCIEgSSiWShAYZiK+NtQMA4QQpNNpBEEA13UT/dj3PLi+jxu3bmFsbCwk35AkCdlsNizD8j9RoFDUTr3xBvbt2xcmjoIgQNc0KIoC13XRsG3UKhXYrotSsdhTQGrqEXfAIxCghVTG932KbhfFcMeN6LWzhEQQBDQY5eD2XbtQKpU27FjYIxUwAZqZFvv6sDo3B8/3kdL19cxU1yGxhVVhQYIjTkt9ffiFX/gFfPe738VLL72Eqakp/O+//duJOyZFUegOiy3UgwMDWFpawlq5DKDVMQA62sBLCinW1A6pnmKBQ1NV2I0GrdcnzFkJgkB3c6w03M7OAuu9F8eBaZrNoBeOJkwwAuDiBx/QnWXCoiFKElJsZk5hu9u6YSCVSrXdZQqx8/HxnSQn4zvLKMDHMk14jCNWYQso/w4EAH7EeV3XRb1ex87Jyc0xkkfYisUiHNuGaRjIpNOo1+uos36mIEkQwdDdohjurvr6+5t8eXJyEr/9279N8QwJ/sIDBkDn/gYHBrDExiZGEoImZwZyPQ+CICCXzTZxqzaVWAUBuq7DMs0mxGz0fbIkgbCdZDsjAM6dO4etjAKuUq1CkeVwdKvb7m5xaQmmaWI8JppA2DUqqkop5xwHCuhOEx0o/kJMQeRnPiGJ8+hJbRdeqeLodrB1OfquqP/XajWIkoTJCCp3I9ojucqk02mkSyXYLAtTFQWmZcFznJAJn6uWhOg6QkJuSQD4yle+Eoo8k9iXLQqUj5Y7mSiKGBwcRErXsba21qTuHhCCaq0Gg0lN5XI5pNLpzk105mQgBDY7B//5w5rPs7fIMTqNuiwuLqJh2xjvIPtjWhYIqBRaPp+nLByWRX8ec+B4sATWnTwezMIyLLtW3/dRr9dpsEylQvQzF5AF0LITXVlehqxpmJ6e3rDZ6KZ1N1EU0T8wAEgSLCbNFRBC0ZJBAB+gZVlZDueDSYIvh8+A0Eq1p7CKEbd0KoXBwUEEvo/5xcWmuUHbcVCuVMIdaT6XaxuIuWkM0W4xMfPQouMxD/CZhHiEqN90AtgBuHjxIqanp9smjr7vo2FZ0DQNg/390FQVLgP4Jc1dx/27E4Av/hO70YDJJhly2Wy4cQhn4tHc03XZZ75tfLxnJah/LnskAyYAum1nGanMFLrrpklJuAkBYeg0HkDPnDmD73znO2Ef8nvf+154rKRHMZ1ONwnWiqKIocFB6LqOldVV1Ot1+L6PSqUSzhXlcrkwUEazp6SHTNU06mQJwedhjDtYL8PXBMCHFy9i3/R0W1Yg3rfU2G5PlmXkcjnoqkpnIw2jiRwiKTgnqUCEfJI8WHoeRcMyppFQgDoyahK/l1qtBsOysGPHDpQSJH827dEyRVFQGh6Gx5QrUoyxyTAMgPXjRSao4Ps+3nzzzba+DLCELPL/lK63iE+n02n0Dwwg8DzMz88jYOc26nWIrPWiM1YuHija+pQgIJVKgQQBnMj4S+vbegubIUK2x6rJ/Pw8fN/HtgT+ZIJ1xDkEAVmGOE+lUshmMpAEASabJ+1koUpU9GfcjyNrjslaUrKiNKFc283N8qRFS6fx+IEDG75StLGvroMJgoCB0VHIqgqT9dhkFjRtBqjhu8R33nkHf/mXf4mtW7fim9/8JraMjuLVV1/F3Nxc/KDhP7O5HHXYiPGdpq5pmF9cxPziYoimjTN+cK7ZMDNNcLZUKtW6y4we4wE+D9/3m0ornVh9Zmdn4QcBtrJybvycnuui0WhAkuVm7lsG0c+kUggAGLUaZS1ps5AEvt+802YLGV84XNcNd+tZ1h9C5PWWLJcQWAx9nM1kcOjw4bb3uGmPlmUyGRT6+ylnNMMn8OF/EgQU5CYIeOedd/AXf/EXXX05GjSz2SyMWq3lnNlMBv39/XA9D7dmZlA3TSisVx+vEHEVpHam8F1mhwS4V39ODJhtjsl3l/v27Us+GKGCBQHrpUbXBVmWkc1mISsKGpaFBk8qEs7FNWbDz0UQmq6PTwa4tg1N16n6iLBOMMHbK1HzfB8ra2twHAeP7du3oUux3B7ZgAnQL7xvcBCKosCyrPXyLJMQUlUVt27dwv/97/89ioUCfvd3fxe5XA5f+tKXEAQB/uZv/mb9YDzYMEfL53IUVBI/pyShxNCzZcZik1TX58cSRZEGzoTsMsr+00TdF3lPL+omQKtwdNsgRgg+/PBDPPbYY4mv+2ykQxRFZNsoBCgMpi+KIg2abUq/PlO6T+px2LYNs16HyIENskxZUdi9tNBrsWBZZQvf45/73GYp9jNmub4+ZHM5EIbM5kARTl5x7949fPuv/xqFbr7MjD9zOZb8JvlEJpNBStfRaDRQq1Yp9qCDz4mRHVXcUuk0TYAZjzXQSgvXSy0pHpw6/c7du3chiSJGR0cTXzcZkjzTBnsgMD/XVBWO664HzZgFvr8OvmNgLH5dvOfruS70VKopySaRoBk1z/Ng1GqoGwb6+vuxr816tNHskQ6YAKDlcij09UFVVUrbFIGoz9y+jf/npZdQLBTwf/z+7yNfKIAQgiNHjmDXzp145513cOXKlZZj8kZ/LSEr9djsX19fH0qFAsqVClZWVzsL4XYgdeZO1mg01h21TfBsZyH1VkRPrl1Gev36daQYl2bcgiCgxAqgZAGd+iYKK7lAEGhJNV5qYdcksTJx9FWLZbOyotD5OBZU+XXz8lv0/kxWOXAcB1vHx7Fr164ePplNe5RMFEXk+/vprCDziVQqBUIIrl67hv/0H/8jMuk0fu/3fg/FYhEBIThy9GhHX4YgQJHlMKmOW900IcsyRkdHIUkSFubnKTdxB2vnFXzsymJjHHGmnV5JPDgJixBJ4pPM9Txc+OADHDh4MPF13lbhILq2xlCsPGg6kYDPzWcz1WJkhwnQlophGFRFiLVUCCEgvh8yA8VXIl5Zsm0beiqFJ48e3fClWG6PxlV2Mb1QQDafp1844zqsVCr4q7/6K8iKgv/1K1/B0OBgiPzyCcGv/Mt/CUIIvvOd7yQeM1cotJRkebYbBAHy+TyGh4eRz+VQNwwsLi11DJrtPmhZlmmwZ4AlIBYkEx64uPHf4yWjdk5pWhauXLmSqEjCd3A+IUhnMh0FoXkvQpIkZDMZEBY0o9fJCRiix/F9H3XDoKojmtbMBxwNuDFAkFGvUyh+ECCby+HwE088Mg62aQ9mkqYhVSiEVIsNy0K5UsG3//N/hqpp+PKXvxz2rQVQn/zlX/kVBB18GYKAfD4fVie4WZZFF21dR7FYxNDQEGUEWlyEaZodr7Nd2EsxvmPLshIJC3p5an3f76kce/GDDzAyPJwIlPEYZaQkiu31aoGQ+IH3YWVZRsO2KYo2ek1xEBJoQG5qqbDZcHqjYtMOlN4GTYJM04TI7nP31BSGmNTfo2CP3FhJkomSBJ3J2EiyDMuyUCoW8Qd/8AdwHAeWZYUAFq5yMT09jZdeeqltcMllszAjaFgA4aB8lFGmr68PsixjrVzG3MIChoaGoCSNabAHKAkIk0ql6IBvQg9BEASI6Aziael5tHnv+++/j927d7fwvvIdHB/T6UpOEDm+LMtI6zpMpnGoMfh6wAI9vybbccJyj55KQWXalWDfR/SKPdbvcByHsiOJIhRFQcO28dhjj20SFHzGTctmEbguBAZIyefz+Df/9t9Stqp6HfV6vanst/+xx/DSX/91KA+V5NP5fB6mYYAMD4e0mZZlQY706TVNw8jICBYXF7G8vEx5ZPP5lmOFIKCEUqMkSVT/lrF6xa2XilEQG9+Ig20AYK1cxr3ZWfzciy+2/D4XLIAgIJ1Ktd2htgCZBAHZTAbVWo1+Nrlc073yEnEQBHQtdF1IbPQlXkUK74X/7fuUkMTzoOo66vU6+oeGsHfv3h4+kY1jn5k0XVZVaLkcNE2jM1xs0FliGm1rq6tNArF8EJ7TxgWxnZzGShhcOsphQBg9IaDk83kMDgyA+D4W5uYSSzr82IkzT3yw1/eb4O+9Gh8pCRFpCQFznqkQTE1NtbzG+xyapoX33XqRQttAzKWBbNsOB505OhmghMpcniubzYa9x1CdJHa8wPdRN02q7KIoyDI09Jbx8ZY5s037bJpWKEBibEC6rlO5O0IgyjIMwwh7kiGKlZf1CUkEmOQYJoH7v8naCHFtTFmWMTw8DF3XscYEB+KVo+gakkRGrrN5cM7a1fS7Xe6bEIIgusMUWkkKCICfvvsu9u/b1wI25KhzAQjpABOtHepXEMLKT6PRoOsoQypzprJarQbX86AxhqFwpjr5huDYNv2+goCCgQiBrCiY3rfvkcMhfGYCJgBo6TRkTaPzP8zRAMrcYzsOpaCLAGwE1sDmZQnCaOU4XDqXz4fAn4ZlhcwZSZZOpzE0NARRFLGwuEgzvIjxh6ldBqxFg07CPGOnzDSIjZTEzfN9vPfeezh48GAL+s80TXhs982lheImCEITt2eSpZn6PGc5CghVVjDq9XB3n06nu5aabNtGrVZD4HlIM77dcrWKQn8/JiYmeqLm27RH30RRRKpQCPtrnJBDZbzRtVoNhmGszx8DTUEgngjnIqh3h9HOtRMQkCQJQ0NDbdst0ac2qrSx/kMhEQC0/nJ7PwqrRdxPE3zk5s2bECUJ23fsaPq573m0RCoI6yMd8XPx9adDxUqWZaiMJpN/hgEhsGwbpmVRQGAmA01Vw2PFq0T8XmqGQYllZBm5fB6cM3b7zp0YHBxsew0b1T5TARMAtHwekqJAEIRwNlJnjsGJivncH4AWujX6I+ps2WwW1UqFqnr4fnictufWNAwzObDllRWsra2tnyc6k0lI4k4zk81SgVWm78hN5GVZxFB37Np5wOSsHnG7evUqCoUChoeHm35umiYVtGbBsp1FSQbavAGSLENVFErjxySbbNuGIAjIZrPQWUBtYvuIHJNnxnWGnM3lctAUBeVyGXoqhcmpqc2Zy58xk1UVGltkJUlCPp8PUZi2bYfIVh6U4qCaaCKcyWRQLpfprKTjQAA6ij8LgoC+vj70lUpwHAdzETBQ3BOS+umcqctxnBD1Gjl4+E/u07w94UfaK+HPI9awbVy6dAkHY0Af3/NgsDJsNpNpK8/VdmcZu3dd1wGBitLbjQZqhgHf86CpKjLx48eDJSE08a1W4bkuUrqObDZLpcWqVWzdvh0TExOPJA7h0bviLiaKIvRikVIxCZQhpFgoUAYRph9n1OuoVCrUcVh2Gs/GBEGgZM0LC7Asi0pnyXLXHoQsyxgZHkY2nUatVsPcwkJLibYdoYEkSVAZUo2TnweEwGMZHkfD8owPoIg6z/dDwA8Pblx41zAM3LhxAwcOHGg6l8n6uqqqIhWFgYf/6BIk2XuiyF6ZsYfw2ao0H46O6uLFnCtgfJOGYYRlYU4AUTMMCJKEiT172sLmN+2zbaquh0FTYOXCvlIJsqJQYItto1qphEmwEEtMuaVSKYiiiHKlgoZth6jRbiXSXD6PocFBgBDMLyygXKkkkmkkJcBp5lcGA8QFDHDoe144OkUif4D1VoYUKclCEOh6BuDChQsYHx9vEoLgwDgA7YNlh3GYuBGmHCSJIiqVCqrVKkQGnOKJb2LQZbiDWq1G8Qo88dW0UIdzdOtW7Nmz55ErxXL7zAVMgAa/TKm0rvotiugfHEQ6k4HMIOamZWF1ba1pt8nLOvzBGmJEzY7rhpqV0Qe83fiGIAgYGBjA4MAAEARYWFxEtVptfR9aHVZXVQislOF5XiiT0+5c/PU4qpXPM7719tuYnp4O1QsAuoN12KLRoljAA2WXsg0PfITBzR3XpahDy4LtONAjw8v8M2k6TRCgYVmo1WqUg1PTkEmnoWkaBICSMbsudk5MYCyBYGHTfnZMS6ehRJ7fVDqNUrFIATuahoCh4svlMlwGFgIQJs0Aff5GRkYwNzcHQkgo4ceJ1Du1PVKpFEZHR5FJp1GtVjG/sNAkaM0trpgkMu1ex7Zp0s0DoyC0JRYJWLBqCXCEYHZuDisrK9g3PR3+mNNKJu0s+ZV0K8Eikmjwz4Qz9nDavHwuR9shvJ0V82fPdWn5lfHHptPpkFWIEIJypYL+oSHs2bu3pW/8KNlnMmACgCjLSLMSHgGgyDIyqRQkUUQum6UK7wDW1tawsrIS9jYFINw56bqOVCqFSqWSTE7AMkau1RdEnA8A0pkMRkZGoGsaypUK5ubnW0A9YRmJZZ5EEKCx2bOWubGEDJGPlCSVNy5dugRd1zGxezd9jyDAZsFSVVWKoGu6HdI64hG5V0QWFp5k8B27wbg/M5lMKFuUlOkSxuRSZSVbVdOQz+Vof5MpMdi2jWq9jh27dmHnzp2PZOlm0z5eS+XzkFQ1rKzkcjkoqgpFVVFgOx/TsrC0tIRqtQo/CMKElC/uw8PDWFpagiAI4bMpxIISBw1Fd38Arf4MDg6iv68PQRBgbm6uZUwFWAcTBr4PEgRUuEBRYDYaoa8C7dGyPq8WxfywYVn46U9/iqNHj0JmLaeAkYwQQpDtwF/dshuMtp8ABOxYQRBQRRPmm5qmUXpASaJ8uvQDazoUF5yvsx1uOp2mUwSRHmy5XEauWMTUnj2JqONHyT7TK5GsqkgVi2HjOs3GEVzPQyabxUB/P7LZLGymUbm8vExBK8x4WXZ1dRViG7CJKMTkaiLBk2eLQ0ND6C+V4Hse5hYWmuY7CRDOGPJSqiSK0HQdjufBjYAGkvqn3AnjAX1paQl3bt/G4cOHw92iUa/DZoPM8SyPLyxhtyUCngiZdyLl14Bltka9jiDCpatpGjymENN0nZ4XMvXYjUaoh5hOpSBJEk0WCIHruijXahgbH8fk5OQmyGfTQksVi5CYvJYoikjpelgpKRaL6O/rgyTLKJfLmJ+fR4UFToD58tAQVldXu5+IPef8ufe5PxOCTCaD0eFhpFIplMtlLCwshCoqJOL7BOv+mkqlIIKixcNg1Y4di6FRm/qchOD8W29h165d4cyl57ohyUgun2+qMDW1VWLYDF4RCoMoew8H2zU4QCebRTabpUBI329SYSFBECJf6wz9mkqlkItQhPKrr1Sr0NJpTExNob+/v/tnv8HtM78aKbqOTKkEq1wOIdP1eh2aqkJRFBQKBWQymXDxNxcXoakqXcwZ8vXChQtdM4to6ZFEa/xsR5ZOpyErClZWVih5u2miWCgkKhIQALqmwWNlTi4mHe4Ao2AZXsKJmOM4ePutt/DEk0+Gs6d1hihMpVJUoDcCMuCBsqU3w66dIwE55L3RaMDxPAjsOlXGoxneP1ln63FdF47r0kVFEKAqClRVpRqd7D58dh670UDFMLB1bOyR7nNs2idjoigiXSrBXFuDy6jzGrYNyzSRzWaR0nVomkbBQIaBSrmMWrWKdDqNPCM24diCfKHQtn8prJ8QQASlzv1BkjAwMIBqtYpKuYx7c3PoK5Vof4+XXIGmcnCarTEWYy/iyXHS7k+KJYlXrlyBAGDvnj0AEAKeRFFEJpsNRZt936fMOuy4nJ2nqWIUOW8QUKHqBhsHk2UZaYbW5++NJhweS+Ad16XXyUjcVVVdXyOAsFK2urICnQXLzwoG4TMfMAFATaUgShLMtTUoqgrBsmCZJuR8Hlx7kg8pG4aBmmFgeWUFcqUCTVVDQAp/kAk6gwXCYV8gHG4WJQkyIRgeHqb9lkoFhmEgn8shz+ZG+QPHaeHSqRRq1SqMep2WOSJ9BgE00Pi+DynS7wgIwVtvv42tY2MYHBykQ8z1OgjbYatRqaK408ZAPEKkNOR5HhzmLBxhqMUCJUCDte/78DyPgp0ijqUoCgSmbcmNAAg8D9VaDa7vY+fEBCYmJjqidjftZ9dEUUS2vx9WpQK7XoemaXQ0yvMgyzJEgTLWpFKpEIDC5zbT6TRK/f1YXlrqqS/eguaO9DkFDoLRNCyvrGBxcZHudAsF6JweLlJp4vR8NtPu5ZJhIbI90u7gKj0AsLqyguvXr+OFF1+kCHpGEakwoXcx4r9cZDtpNpRfc8CSXtd1w7lpSZKQYULT/H30dqnfC6JIR3giSS9XMAJPjtl98Arb8uoq+gYGMDE11YLOf5TtZyJgArQ8mx0chLm2hhSjdOJEBNxEUUQ+n0c2m4XFACnc0W7NzGDHjh1QmJRYLybQgwKgDx+fVcrn81A1LUSgGYzNJJtOQxQEipQLAkpokE7TIX4mexQ6FzuH7/uQOWsOgJs3bqBhWXjq85+notKWBZGNdoSZY2SXyp0zSl8l/v/tnVlvHOeVht+q6qrem002yWZzEUmR2kitlmVnlMxENjxAMECQmeTOY2B0kUwmuZvcOTfJJAiQi/yJ/IJIQALEwYxlR7YlWxvFyBITW7RWmhS3Xqu69rn4FlaTktyObEskzwMQFNkSu9jqU+d8Z3lPJGJ1XBdORJDAMAwk+GoygKWkA25YruuyLsRmEx6f05KGhdZAQnztuS5WVldhJBLYu3cvduzYQWlY4jNJcmGDEEyBq8FtKKrBahgGukoPOz0AABnySURBVLu74bouarUaTNOEHovhzt27qNXrbHVdJNPxqBlpOUPNT45RJ6cbBrp7etCo11GpVrG4uMik9iLZI5EGTSYSTEfVNJHLZtc6a8OQZXjE80WCzw8uXMCRI0dY4M4lIhOJxNqY1rrrjGkac3LCkYrfTWR7+AwqwOqyqXicBdHiVCxOnjy7ZTYasjEwGvQC3PYj1y0ceqVWQ2lwELt2727p5t0KbKs7k4hONb6Bvc6XnEY7YBWFKeak02mkUimYpomFBw8wNzeHNHc6ccNAgusuyqjsEc/ZEqVGUiWGrqOnuxtN28bqygrK5TIzYuFg+BtdNwwYngfbceTztRh2uNYhu7q6ihs3buDEiRNwHAe2bUNT1RYpP3kt0WsUX/PPQrRZGFYsFkNC1+XvqqqqNCrP86QKix8E8FwXmVQKHbmcPKFG9SqjN4WmbWNlZQUdXV0Y37Vry6RtiK8GI5WCGoshCAKsLC+jUq0yRxTJeiiKgpiuo6urCx3cid2cncXcvXvIZrOszyGRkKem6H1gPfI7PPgNeHCrKgqy2SzSfG67Wq9jfmFBCiNEz3vpdBq1eh1mo8G6yNcJH4ieiDAMcfnyZRT7+lAsFqWyUZIvWH/cLKUY41IUBb7nwXZduI6DIAyhgqmYGXxTEnggLEQKxGeAjZ4pqopcR4fseZBBr0hP89c44M09rudt6SzRtnKYgmQuh6Kq4v6dO6jWaqzjLhJpCsTc1+5du/B/b70lVX5E3UQMJxu8HhqLxR6puKMA8vQoIssgDJGIx1EqlWA2Gijz1vgQPOXJVw2lkkk22G9ZyKjqhgafmKah0Wjg3LlzOHLkCADm9GK6jjSXrnoU0ehabAQJ+LUmePQp2tx9z4PLHaRodBA3JD0Wg+s40PiiaUVVW9U/RD2HP1fdNFGtVlEcGMDuLRiJEl8NMcNAZ38/AgCry8tomCZzRFi7sYt3v+h0HRkZwWq5jGJfH+vYrlSgaBp0HgzHeHCoadpD13mtH9MQDkNVFOTzeSl4Um80YHH91J7ubiiaBg2s1GJaFkzLQlqMy/Dn0TQNIYBr167Btm0cPnxYNgmmMxnoIlvzCJsWDtqyLDRtW46/6LEYEobB7nNgGq+e58FxXXiuKx2w0NZVVRVN20aa14YByPSvPGHza3A9DyvLyzCSSezZvXtLZ4m25m/VBvFMBv0jI7g/O4tGo8Fu8sAGh6fwmshgfz/m5+dx4MABODz/b3PBcdtxoKmqdJgqP7XGNA2qqkLj4xKiTiGQNUmw2bJEKoWV5WUsLy9j8cEDNnLBVXLSmQxqvH27Zd6KF+Pfe/ddjI2NMUUN35dpm4ehcMft8mYcMe9puy4M3gYvBJebjsNOkJGuPk3TpKauMIwgCFCt1aBpGuJiuJlfn7hOhCGato1yuYwgDDE8NoZdu3ZtyUiU+OpQVRU9g4PsPbi6Ck1VYfCygRAmEcRiMQwNDeHsO+/guVQK2WyW2TO35YZlQeWi7Cq335imQeNfC5sWTlJeQ+SeEdM0dBUKyORyuHfvHmr1OlzPQyadRiabRdww5KJsi5daREkkFothdnYWn87N4dgLL8C2bZnxetwCa5HpER+iszeRSCDGT5xBEMA0TVbyCdfmKUXmSty/AOZwHc9DijtPRO2Z23Lg+6jVaqhVq+jq7d1SzT2PYts6TABIpFLoHx3F3K1bqNfryGQyayIGEWMzDAM7duzA+fPnMTExwTo9+elNdI2JVIbnumvRoqJA4VGqFotBBdN1Vfn3xGMKfz6A1TdFVGtaFpaWl+WS5RSfNWuYJjJ8REZRFJw7fx6F7m709fWxTsJUakOEFwSBvD6XK43IGTN+U/CDAAHQMv+pKAq7YfAUjsZvGOtxPQ92swkjUrPkPwAIQ7iOg0q1imaziXg8jueOHkVvsUgzlsQXRu/QELwggFmtMtGAWIxlSyK2rCgK0qkUent68Mknn2DPnj1IaBqSXODdsW3Z1e06DqAosPm/FYGvsAExqynsWQbbPE0ZNwwUurrg827UarWKaq2GRDyOTCYDnWtci5JKGIZYXFrCzMwMnn/+eaZa9rDAN2Q6zV4k2yOaBRURoPMGIMe2YUccu6Zp8vQc49330QOCaGi0mk0oYcjGRNadZgPfh8kzRIHvY3hsDHsnJrZF4LutHSYAJNNp9A4NYeHOHZiNBlI8nRNy5yFOjPl8Hvl8Hrfv3MHO0VE5L6klEognEgiCoCXCE91xvuch4KdA3/dZF5umtUS9iqrKRctBEMALAuSyWWQyGTQtC/VGA+VyGRWwmmb01PaX6WlomoaR0VHoPJXk8o5WeU38eeUpkRu9rmlQeArI830m/6dp0BOJlmh6PSEiA7w8TVOv1+H5PrIdHS0G6HseqtUqGqYJJQzRVyrhMB93IYgvEkVRUNqxA/dv30a9VkM2nYYWi8mmG4DZWiKRwI7hYUxNTWH3nj1S4EDnGZMUNp7YosIkosbnuq5sBJJNdIA8maqqyrrrNQ2FQkH2TViNBmvG4/JznuexZhpFweXLl3Ho0CEpmgIwzWd5P+F9AkKhSDyfwoNehTty4UQf5xxbXrvIZ9txYJomDF7rFEEvwBZu18pleEEAwzBw6IUX0L+NlLi2vcME2OBvMDiIpbk5VKtVlp4VxXdubIauY8fQEGb+9jfsHB3doIYjok6xD1K0ZItI0OeG07RtpgIiUiJg9QRR2/P5nKNoRRdvekVV0bQsrK6uytpDCKBar2PPrl0wTROWaa7NXSlrGrkqTxfHeK1V5fVFVVWls4aibFgaux5xY2hpWw9DKYsXNwyZbnK40VmWBYRsjdLwyAjG9+6lUyXxpaGqKkpDQ/j0/n3UKxU5mykQY16Fzk4YhoH79+5haN0NXwFk8BnVePWjDpSfLl2e/hTdsz6AMGJH4v0vnKwCVn6xLAtWowGHj18JpbGBgQEmMsLH29hFh/LUKrJVumHAiMXkfUdVlJaTrsfFWtYTHYl7mOsMASa07vvI5/Oyccg0TbnZSNM09BaLmDx0aNMr93xeyGFyOvJ56IaBxfv3Ua3VkE6lZIEdYIbYVyrho5s3ceP6deydmFiT3gJktxmw5lgMw4DBB4nFLKNhGPC4w/SDgJ1kwxChEF3WNNjNZovOrKKq0BUFejaLNB+8/vjmTYS+j66uLni+Dz0MkUok2ALoSMOCTEcpyiOjSwBwIwb9WCJGGPIT8erqKls+zdVPLMuSp9lEMomuzk6Mjo+jsIk2qxObl1gshoGhISzF46guLcHzfbm3UdhpIpnE+NgYpq5eRbFY3NjtHglohV1qsRjiwoEGgexlEAIgLUo//O+5kTGP6DhXKpVCMpVC07Lw4MEDLMzPQ1EUGPE4O73xtWaiAUc4RlG+eZjY+9qlh3IMbEPD0mO6awGmRlSr1WDoOmzbxmq5DI+rjWmaho58HqX+foyMj29LYRHlM1a9PP7V3YJ4nocH8/MwV1eR4J2qIioLASzMz+Pd997DN0+cYIIDgIz+gM92OH4YrunJRgxIfB2EIVZWVhCPx2VKRnT72Y6DZrOJv83MoNFoYGxsDGosJtMvon6i6zoSfGVX3DBaaiSy+ShyrSFv+Fl/al5P9FFxGl5eXsbSygprtDAMdjNKJJBMpZBOpZDJZrFj504k1ou8bz0+M9Z4BthW9hyGTJR9ZX4eoedtaJzxPA/nP/gAiqLg2PPPs1JDpNb5mT8fLH3ZYsfcxoTTsiwLlmWhI1KqUFQVHl9Iv7q6imvXrmFwaAiFzk543NlGFbPiiQSS8TgSqRRr4MFakC7tPmLTPh/5avt1AjtB27aNubk5NJpNOROuaRpSqRRSySQSySRKQ0Po7etr+2dvYh76BiCH+RCCIMDy8jKqy8vQggAJLtoOsFGQv0xPY25hAd/8p3+StUfB+u0c61/1EGyzx+Ne91q1Co03FYVcENl2HAS+j+vXr0NRFEzs2weDL8uu8w3rccNAk6d3hAMU0bGozwiVEfFnMbP1sEW3whjFLJdQ8XFsG77vw+Ii6pqqortQkC3oojmi2N+PvoGBtm4+W4DN8EtuS3u2LAuLCwtwuSSmCOwApnV65swZHDh4EIMDA2sD/ID88+OCYZf3KTwKm4+gdeTzUDWNSdFZFnzfx+rqKq7fuIGDBw8im8kglU6ztKfvwxCdtHxriJC5U3kJRY/FoHGbFratcyEH1/MQRITegTWxhZCfjF0+TiI65R3PQ6Vchu046MznkevoQFrIaIKlkUfGxpDYxJtGPifkMD8PopFldXkZTqOBmMK2l2g8xXLmzBn09PRg1+7dMp0TjTJDXuuTaRFlTSXE5x2r8jERofL/i1qtBs/zkIjHpeNTFAVTV64gk83i0OHDaNRqUjxBijAoCtJ8U4Dv+2jynZcbmhfQ+m7whdFHrh9gtVUoClv/w69dRJ0AUK3VoKgqBgcHZfo6BJDv7ERpaGjj6rCtDTnMZxjXdbGysoJGpYLAttmMMV8ld/v2bVydnsbx48eRzWZbnSZHnN7kmIqyJkknGuYeFhi6rot6rQYjHkfg+/C4uPrS4iJmZmbwD8ePIxGPw+FjJyGABh9DiXbI2s0mU9AStswb+cS9BljLIDnrs0VcSUjYMrD2ZtViMWiqKmewuwqFlkXtMcNAqb8fhd7e7RL4Cshh/j0EQdDiODWFCQnU63WceestHDx0CL09PW3n86O798QIizBQoddarVbheR4ymQxbKO04uHTxIop9fdi/fz8cx4FlmkiLlDDW1uwATE0kpuvSyUX/j8USbTFeYjebTPx8nbpJ9N2i8ShWdNw1m02p6tHd08OcpaIgm8uhf3AQqUzm7325NzOb4W6y7e252WyiUqmgvrqKkG/uMeJxnD93Dl4QYGLfPhZ0tukcpKSk+DO3ZSFsbjsOyuUyq0fG49ANA7Ozs7h79y6OHz+OXC6HSqUCje/2BJi9WpbF1t8ZBlPZWRfMijES0VQoZO+EM432LLR05CtMaMTgTU1BEEh1IrFnFGA2XyyV0MNH1bYh5DCfBOE4y0tLsOt1KKqKxQcPcO3aNUxOTrJB5cjC5MchagYBbxEXYyAhj1L/9803cfbPf8brr7+OSqWCjz7+GJOTk2w3JFhrt+t5yGazLS3zvu/DbDRYm7ph4N7du/jlL3+J/zh5Ev/8yivsubmzDgGZtvHXpW8ehR8EaPDuvTAMkevokKIKpYEB5LixbVPIYW4ibNtGeWUF9XIZAT+RXbx0CbquY+/evWxOMrLS6nGI5j3puPhMdgjgzJtv4t133sF//+QnyHV04NLFizAMA0eff54pePk+atUqq09yFR7xnyTUehQA9+/fx69+9SucPHkSr7zyiqxxAhFnLcZeHrE6LErIRUTq9TpM00QymURHRwd0XUehtxfF/v4tq9bTJg+15239inweosLsJp9FEiu3rn34IXaOjqKzq4t110ZU/1tmEvluOVEzkIQhYpoGI2I0vu/j/Q8+QFdXF1566SWkUym8//77mLlxA4sPHuD2nTt4sLiIf/zGN/CjH/2IzVZy3dhms4mmbaNYLKKrUMClS5ekw5SppDBsla57DKLGaZomTMuCFosh39GBYrGIQrGI9PY8URKbmHg8jmKphHxXF+q1GhqVCg4dOYLpq1fxl+lp7BwfRzKZRIrrwbb0JvBaYHT2OuqkFEWR0pYAEwG4ffs2ypUKJvftw8joKC5cuIAbN25gbm4OS0tLWFhYwNe+9jVmy5xkIgFd12E2GiiVSigWi2u2vO6kKdZ6PWyUZD0+Fx6wmk0WeGcy6CkW0d3bi87u7u3uKB8LvTKfE5U7pUwmgzAM0T88jFxnJ949exajQQCXi47H4/ENmq8AGzLWNA3JiIxei8yd62J5eRlhGKLU14djx45JYz196hQ+/fRTdHV1MSe1uLj2gyNSV8lkErphwGw0cPjwYVy4cAG1eh3pdLq12YiPhSjRlIt4nD+nw5uIxDLrXC6HoeFhlAYHybCITY9wbIXubvi+j+LgIN584w3c/Phj7BgeRqPRkDtcN2hNiwYcw4DBa/uaqkIR9hyGsHjdsVwu46WXX0aaN82cPnUKt+/cQXd3NzpyOcw/bGaSB9LZbBbNZhP79+/HlakpVMplZPP5FrnKaA+ErMGu78DncnyiFqoAbERkbAw50nJuC7rjPQGKoiCRSmH/c88h39uL07/7HfLpNEZHRqT+ZIJ3sgKQmowC3/fl1416HTdv3sTtO3dgWhZzxv39Lc/32muvIZ1Oo6OjA3Nzc/ifX/yi9YJEsxF/rmw2i8nJSVy4eBGXLl7E4SNHkIjH17RiuRG13Aj4913uKF0ukpDJZDA4PIyBoaFtIYFFbD80TUOhpwffe/VV/PEPf8CV6WnsGh1FX18fOzUmErLDVlGUlkBTCBkAQOj7uD83h9mbN3H/3j0Evo/JyUkpYg4A//7aa8jn80gmk7h37x5+/etfb7ie6LafRCKBA/v34/3z53F5agoHDx6U9Ve5RiwSNEcJfJ912ts2HMeBqqooFIso9vejd/s18zwR5DC/IAYHB/FfP/4xpqen8e7Zs8in09gxNMR2XxqGXLgsCUM5h/XJJ59gZWUFw8PDePmll+DaNmZmZuAHgdSVDQFMTEygUqlIhxfwWS+xkUEKJPCUq6IoOHTwIJqWhWvXr7PuWtOUOpch1mS8FEVZMyzRjRcESKfTGBwZQXdvL5tja3MXKEFsVlRVxb98+9tYWlrC2bffxp/few/jIyPo7e1ldswdZyzqMD0PlWoVn87N4ZNbt5DNZjE2Po7FxUXcmJmBWHig8V2zk5OTaDabME0Tqqax7vV1p0whzyns+8CBA7AdBx9++CGOHj3KRsgcRwbnCNkyaFEq8rgCl+M4TI1IUVDo7UXfwAA6eP8B8fkgh/kFomkajhw5goMHD2J6ehoXP/gAldVVGLqOTDqNdDKJEGD6sPU6DF1HKpPB0NAQXnjxxZYUrue6sgtOOCnbthEEgXS80bhQSuIBLbVJIx7H5OQkpq5cwX/+4Aes2N9swuTye4GQ7ovMecUTCXR2diKby5GjJLYt3d3d+LfvfQ/Ly8s4+/bbOHfxImzbRiaVQjadZmo4vGPddhykUikUCgV84+tflylOMcesKApc12Xd9JH0qK7rLSvE1jdhRm3ciMexf/9+TE1N4Yc//CFSqZTcmmQ3m0wTmmtWB0EAcH3ZNN/VWejtJUf5hJDD/BIQjvPIkSNynnNhYQHz8/PwXZepdvARDV2sAFNaF9e6XEHE5dqNoqstulLrUayfEzt69CiuXL6MmZkZTExMyGYEx3EQSyaRTSSQSKeRyWSQzWblxhGxWJsgtjOFQgH/+t3vAmBzlUtLS5ifn2eKXLqOZDyOONd1FWv+1js+MS/t+z5UVYXjugiCQC5mfhQi/Russ+Xr169j//79bBkDgLDZRAA2UhZPJpHJZpFOp9mIGbdlCnqfHHKYXzKKwraxZ7NZjI+PA2COyrZtmI0GGrUaXNuGWa/LbSFinsvnTQO6rrO0iuchmcmsjYVEZjpbnhOQmw1838e+ffuQSqdx6fJl7Bwfh24YyOdyyPEaithtSRDE49F1HaVSSe59DIJAiqfXq1XYlgXLtuE2m2xhfBBA5WlYl8vhxeNxWKbJtohwgfeAj6ZEbTk6Ry067Cf27UM8mcSVK1cwtGMHkuk04pkMukol5HK5lsXzxBcP3SWfAmJtTjabRdDbKx2o1Wiwz76PimlC03W2mZ2v9zF0HRbvcrObTZkqrVWra81EvBlB0zRofEC5d2AAmc5O/OFPf8LrP/uZPEFu04FkgvjCULlIejKZRD6fl7OYVqPBdGQ9D8vVKqBpCFUVy+WyFEBPp1KoVioszctXkdWqVQCsH0Hu8OSOVdN19PT3o7O7G39880385PXXWUc8l7okvnzoVX7KRJfEdvC6hxeGuP7Xv6J/eBiFQgGNRgOKosj0je/7uL2wgI9mZ7Fz714Mjo9L/Vax4Hb9x607dxCGITI0M0kQXwoKX3yg6/qarQKY+egjFAcGUCqVUK1W4bouEnzGMgxD3F1cxPWbNzG8Z88GWxabSqIfs7dvIwxDdHV1Pd1feBtCDvMZRTQIFAoFFAqFDY9ns1l8+uABXNdF72eszZqdncW1a9fw05/+9Mu6XIIgHoHv+9B1Xc5vryeTyWB+YQGO45AtP+NQTm4bcPr0aQDAd77znad8JQRBPAlky08XcpjbgNOnT6NUKuHYsWNP+1IIgngCyJafLpSS3UScOnUKp06dAgDMz88DAM6dO4eTJ08CYHNjv/nNb1r+zcrKCt555x18//vfp845gnhGIFvenJDD3ERMTU3ht7/9bcv3ZmdnMTs7CwAYHh7eYGS///3v4fs+pXAI4hmCbHlzQinZTcTPf/7ztX2aD/m4devWhn9z+vRpZDIZvPzyy1/9BRME8VDIljcn5DC3MM1mE2+88Qa+9a1vSXUfgiA2H2TLzwbkMLcwV69exfj4OF599dWnfSkEQTwBZMvPBlTD3MK8+OKLmJqaetqXQRDEE0K2/GxADvMZ5MSJEwCAfD7/dC+EIIgngmx5a6GsV9Vfx2MfJAhCshn6/MmeCaI9HmrPVMMkCIIgiDYgh0kQBEEQbUAOkyAIgiDagBwmQRAEQbQBOUyCIAiCaANymARBEATRBuQwCYIgCKINyGESBEEQRBuQwyQIgiCINiCHSRAEQRBtQA6TIAiCINqAHCZBEARBtAE5TIIgCIJoA3KYBEEQBNEG5DAJgiAIog3IYRIEQRBEG8Q+4/HNsBSXIIj2IHsmiCeATpgEQRAE0QbkMAmCIAiiDchhEgRBEEQbkMMkCIIgiDYgh0kQBEEQbUAOkyAIgiDa4P8Bn5FyGV74IN0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_bloch_multivector(psi, title=\"My Bloch Spheres\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using the output from state plotting functions\n",
    "\n",
    "When using any of the state plotting functions it returns a `matplotlib.Figure` for the rendered visualization. Jupyter notebooks understand this return type and render it for us in this tutorial, but when running outside of Jupyter you do not have this feature automatically. However, the `matplotlib.Figure` class natively has methods to both display and save the visualization. You can call `.show()` on the returned object to open the image in a new window (assuming your configured matplotlib backend is interactive). Or alternatively you can call `.savefig('out.png')` to save the figure to `out.png` in the current working directory. The `savefig()` method takes a path so you can adjust the location and filename where you're saving the output."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot Bloch Vector <a name='bloch'></a>\n",
    "\n",
    "A standard way of plotting a quantum system is using the Bloch vector. This only works for a single qubit and takes as input the Bloch vector. \n",
    "\n",
    "The Bloch vector is defined as $[x = \\mathrm{Tr}[X \\rho], y = \\mathrm{Tr}[Y \\rho], z = \\mathrm{Tr}[Z \\rho]]$, where $X$, $Y$, and $Z$ are the Pauli operators for a single qubit and $\\rho$ is the state matrix.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-09T13:24:26.674686Z",
     "start_time": "2019-08-09T13:24:26.672200Z"
    }
   },
   "outputs": [],
   "source": [
    "from qiskit.visualization import plot_bloch_vector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-09T13:24:27.062073Z",
     "start_time": "2019-08-09T13:24:26.883582Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_bloch_vector([0,1,0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Options for plot_bloch_vector()\n",
    "\n",
    "- **title** (str): a string that represents the plot title\n",
    "- **figsize** (tuple): Figure size in inches (width, height)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-09T13:24:27.692962Z",
     "start_time": "2019-08-09T13:24:27.507820Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_bloch_vector([0,1,0], title='My Bloch Sphere')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Adjusting the output from plot_bloch_vector()\n",
    "\n",
    "When using the `plot_bloch_vector` function it returns a `matplotlib.Figure` for the rendered visualization. Jupyter notebooks understand this return type and render it for us in this tutorial, but when running outside of Jupyter you do not have this feature automatically. However, the `matplotlib.Figure` class natively has methods to both display and save the visualization. You can call `.show()` on the returned object to open the image in a new window (assuming your configured matplotlib backend is interactive). Or alternatively you can call `.savefig('out.png')` to save the figure to `out.png` in the current working directory. The `savefig()` method takes a path so you can adjust the location and filename where you're saving the output."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-09T13:24:29.772244Z",
     "start_time": "2019-08-09T13:24:29.765698Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3>Version Information</h3><table><tr><th>Qiskit Software</th><th>Version</th></tr><tr><td>Qiskit</td><td>None</td></tr><tr><td>Terra</td><td>0.14.0</td></tr><tr><td>Aer</td><td>0.6.0</td></tr><tr><td>Ignis</td><td>None</td></tr><tr><td>Aqua</td><td>None</td></tr><tr><td>IBM Q Provider</td><td>0.6.1</td></tr><tr><th>System information</th></tr><tr><td>Python</td><td>3.7.7 (default, Mar 26 2020, 10:32:53) \n",
       "[Clang 4.0.1 (tags/RELEASE_401/final)]</td></tr><tr><td>OS</td><td>Darwin</td></tr><tr><td>CPUs</td><td>4</td></tr><tr><td>Memory (Gb)</td><td>16.0</td></tr><tr><td colspan='2'>Mon Apr 27 21:46:41 2020 EDT</td></tr></table>"
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       "<div style='width: 100%; background-color:#d5d9e0;padding-left: 10px; padding-bottom: 10px; padding-right: 10px; padding-top: 5px'><h3>This code is a part of Qiskit</h3><p>&copy; Copyright IBM 2017, 2020.</p><p>This code is licensed under the Apache License, Version 2.0. You may<br>obtain a copy of this license in the LICENSE.txt file in the root directory<br> of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.<p>Any modifications or derivative works of this code must retain this<br>copyright notice, and modified files need to carry a notice indicating<br>that they have been altered from the originals.</p></div>"
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      "text/plain": [
       "<IPython.core.display.HTML object>"
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   "source": [
    "import qiskit.tools.jupyter\n",
    "%qiskit_version_table\n",
    "%qiskit_copyright"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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